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56499123408 = 24371331417251
BaseRepresentation
bin110100100111100111…
…000011010011010000
312101211112001211220020
4310213213003103100
51411202233422113
641542204143440
74040046424260
oct644747032320
9171745054806
1056499123408
1121a63311722
12ab49537b80
135435374890
142a3d9477a0
15170a221023
hexd279c34d0

56499123408 has 160 divisors (see below), whose sum is σ = 185433464832. Its totient is φ = 14420160000.

The previous prime is 56499123397. The next prime is 56499123409. The reversal of 56499123408 is 80432199465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56499123409) by changing a digit.

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, 73218 + ... + 344033.

Almost surely, 256499123408 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 56499123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92716732416).

56499123408 is an abundant number, since it is smaller than the sum of its proper divisors (128934341424).

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

56499123408 is a wasteful number, since it uses less digits than its factorization.

56499123408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417313 (or 417307 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 56499123408 in words is "fifty-six billion, four hundred ninety-nine million, one hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 19344 22568 33852 45136 67704 135408 417251 834502 1251753 1669004 2503506 2920757 3338008 5007012 5424263 5841514 6676016 8762271 10014024 10848526 11683028 12934781 16272789 17524542 20028048 21697052 23366056 25869562 32545578 35049084 37969841 38804343 43394104 46732112 51739124 65091156 70098168 75939682 77608686 86788208 90543467 103478248 113909523 130182312 140196336 151879364 155217372 168152153 181086934 206956496 227819046 260364624 271630401 303758728 310434744 336304306 362173868 455638092 504456459 543260802 607517456 620869488 672608612 724347736 911276184 1008912918 1086521604 1177065071 1345217224 1448695472 1822552368 2017825836 2173043208 2354130142 2690434448 3531195213 4035651672 4346086416 4708260284 7062390426 8071303344 9416520568 14124780852 18833041136 28249561704 56499123408