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463273731104136 = 233611861423140189
BaseRepresentation
bin110100101010110000101001…
…0001011010001110110001000
32020202022112110212021202121020
41221111201102023101312020
5441210234100130313021
64321145003004312440
7166403264634213351
oct15125412213216610
92222275425252536
10463273731104136
11124682316761487
1243b61677242720
1316b666aa386c74
1482587d52cad28
153885c2d8177c6
hex1a558522d1d88

463273731104136 has 128 divisors (see below), whose sum is σ = 1178111191891200. Its totient is φ = 151771750272000.

The previous prime is 463273731104071. The next prime is 463273731104167. The reversal of 463273731104136 is 631401137372364.

It is a super-2 number, since 2×4632737311041362 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11527356330 + ... + 11527396518.

It is an arithmetic number, because the mean of its divisors is an integer number (9203993686650).

Almost surely, 2463273731104136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463273731104136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589055595945600).

463273731104136 is an abundant number, since it is smaller than the sum of its proper divisors (714837460787064).

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

463273731104136 is a wasteful number, since it uses less digits than its factorization.

463273731104136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46351 (or 46347 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 463273731104136 in words is "four hundred sixty-three trillion, two hundred seventy-three billion, seven hundred thirty-one million, one hundred four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 1861 3722 4231 5583 7444 8462 11166 12693 14888 16924 22332 25386 33848 40189 44664 50772 80378 101544 113521 120567 160756 227042 241134 258091 321512 340563 454084 482268 516182 681126 774273 908168 964536 1032364 1362252 1548546 2064728 2451529 2724504 3097092 4903058 6194184 7354587 7873891 9806116 14709174 15747782 19612232 23621673 29418348 31495564 47243346 58836696 62991128 74791729 94486692 149583458 170039659 188973384 224375187 299166916 340079318 448750374 480307351 510118977 598333832 680158636 897500748 960614702 1020237954 1360317272 1440922053 1795001496 1921229404 2040475908 2881844106 3842458808 4080951816 4562295469 5763688212 9124590938 10372419199 11527376424 13686886407 18249181876 20744838398 27373772814 31117257597 36498363752 41489676796 54747545628 62234515194 82979353592 109495091256 124469030388 248938060776 316443805399 632887610798 949331416197 1265775221596 1898662832394 2531550443192 3797325664788 7594651329576 19303072129339 38606144258678 57909216388017 77212288517356 115818432776034 154424577034712 231636865552068 463273731104136