Search a number
-
+
46445817012 = 22374917271549
BaseRepresentation
bin101011010000011000…
…101110110010110100
311102212212222222010220
4223100120232302310
51230110112121022
633200435014340
73232653634140
oct532030566264
9142785888126
1046445817012
11187744a8841
12900273a3b0
1344c261207a
1423686aa220
15131c83385c
hexad062ecb4

46445817012 has 96 divisors (see below), whose sum is σ = 124358707200. Its totient is φ = 13216452480.

The previous prime is 46445817007. The next prime is 46445817023. The reversal of 46445817012 is 21071854464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29983614 + ... + 29985162.

It is an arithmetic number, because the mean of its divisors is an integer number (1295403200).

Almost surely, 246445817012 is an apocalyptic number.

46445817012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46445817012 is an abundant number, since it is smaller than the sum of its proper divisors (77912890188).

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

46445817012 is a wasteful number, since it uses less digits than its factorization.

46445817012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 46445817012 in words is "forty-six billion, four hundred forty-five million, eight hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 491 727 982 1454 1473 1549 1964 2181 2908 2946 3098 3437 4362 4647 5089 5892 6196 6874 8724 9294 10178 10311 10843 13748 15267 18588 20356 20622 21686 30534 32529 41244 43372 61068 65058 130116 356957 713914 760559 1070871 1126123 1427828 1521118 2141742 2252246 2281677 2498699 3042236 3378369 4283484 4504492 4563354 4997398 5323913 6756738 7496097 7882861 9126708 9994796 10647826 13513476 14992194 15765722 15971739 21295652 23648583 29984388 31531444 31943478 47297166 63886956 94594332 552926393 1105852786 1658779179 2211705572 3317558358 3870484751 6635116716 7740969502 11611454253 15481939004 23222908506 46445817012