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56468373012 = 2232591091911277
BaseRepresentation
bin110100100101110001…
…101111111000010100
312101202101012120021200
4310211301233320110
51411121400414022
641535145112500
74036224152052
oct644561577024
9171671176250
1056468373012
1121a47a19477
12ab3b188730
13542bb9918c
142a398211d2
151707699bac
hexd25c6fe14

56468373012 has 144 divisors (see below), whose sum is σ = 147372825600. Its totient is φ = 18223729920.

The previous prime is 56468372999. The next prime is 56468373067. The reversal of 56468373012 is 21037386465.

56468373012 is a `hidden beast` number, since 564 + 6 + 8 + 3 + 73 + 0 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44218918 + ... + 44220194.

It is an arithmetic number, because the mean of its divisors is an integer number (1023422400).

Almost surely, 256468373012 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 56468373012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73686412800).

56468373012 is an abundant number, since it is smaller than the sum of its proper divisors (90904452588).

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

56468373012 is a wasteful number, since it uses less digits than its factorization.

56468373012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56468373012 in words is "fifty-six billion, four hundred sixty-eight million, three hundred seventy-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 109 118 177 191 218 236 327 354 382 436 531 573 654 708 764 981 1062 1146 1277 1308 1719 1962 2124 2292 2554 3438 3831 3924 5108 6431 6876 7662 11269 11493 12862 15324 19293 20819 22538 22986 25724 33807 38586 41638 45076 45972 57879 62457 67614 75343 77172 83276 101421 115758 124914 135228 139193 150686 187371 202842 226029 231516 243907 249828 278386 301372 374742 405684 417579 452058 487814 556772 678087 731721 749484 835158 904116 975628 1228321 1252737 1356174 1463442 1670316 2195163 2456642 2505474 2712348 2926884 3684963 4390326 4913284 5010948 7369926 8212387 8780652 11054889 14390513 14739852 16424774 22109778 24637161 26585863 28781026 32849548 43171539 44219556 49274322 53171726 57562052 73911483 79757589 86343078 98548644 106343452 129514617 147822966 159515178 172686156 239272767 259029234 295645932 319030356 478545534 518058468 957091068 1568565917 3137131834 4705697751 6274263668 9411395502 14117093253 18822791004 28234186506 56468373012