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463263672030012 = 22327109119271414067
BaseRepresentation
bin110100101010101011111101…
…0100110111101001100111100
32020202021120111211100212000100
41221111113322212331030330
5441210103000014430022
64321140220511401100
7166402460441411550
oct15125277246751474
92222246454325010
10463263672030012
11124679024669187
1243b5b72a523190
1316b657663850b9
14825811d38b860
15388584068b1ac
hex1a555fa9bd33c

463263672030012 has 144 divisors (see below), whose sum is σ = 1350709608568320. Its totient is φ = 131135639078016.

The previous prime is 463263672030007. The next prime is 463263672030031. The reversal of 463263672030012 is 210030276362364.

463263672030012 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 636 + 7 + 2 + 0 + 3 + 0 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×4632636720300122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 463263672030012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326903803 + ... + 328317869.

It is an arithmetic number, because the mean of its divisors is an integer number (9379927837280).

Almost surely, 2463263672030012 is an apocalyptic number.

463263672030012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463263672030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675354804284160).

463263672030012 is an abundant number, since it is smaller than the sum of its proper divisors (887445936538308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463263672030012 is a wasteful number, since it uses less digits than its factorization.

463263672030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426120 (or 1426115 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 463263672030012 in words is "four hundred sixty-three trillion, two hundred sixty-three billion, six hundred seventy-two million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 109 126 218 252 327 436 654 763 981 1308 1526 1962 2289 3052 3924 4578 6867 9156 11927 13734 23854 27468 35781 47708 71562 83489 107343 143124 166978 214686 250467 333956 429372 500934 751401 1001868 1300043 1414067 1502802 2600086 2828134 3005604 3900129 4242201 5200172 5656268 7800258 8484402 9100301 9898469 11700387 12726603 15600516 16968804 18200602 19796938 23400774 25453206 27300903 29695407 36401204 39593876 46801548 50906412 54601806 59390814 81902709 89086221 109203612 118781628 154133303 163805418 178172442 308266606 327610836 356344884 462399909 616533212 924799818 1078933121 1387199727 1849599636 2157866242 2774399454 3236799363 4315732484 5548798908 6473598726 9710398089 12947197452 16865577109 19420796178 33731154218 38841592356 50596731327 67462308436 101193462654 118059039763 151790193981 202386925308 236118079526 303580387962 354177119289 472236159052 607160775924 708354238578 1062531357867 1416708477156 1838347904881 2125062715734 3676695809762 4250125431468 5515043714643 7353391619524 11030087429286 12868435334167 16545131143929 22060174858572 25736870668334 33090262287858 38605306002501 51473741336668 66180524575716 77210612005002 115815918007503 154421224010004 231631836015006 463263672030012