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56499780456 = 2332732287811
BaseRepresentation
bin110100100111101001…
…100011101101101000
312101211120022020012100
4310213221203231220
51411202420433311
641542230213400
74040055132000
oct644751435550
9171746266170
1056499780456
1121a63720339
12ab497b4260
135435544972
142a3da79000
15170a300a56
hexd27a63b68

56499780456 has 96 divisors (see below), whose sum is σ = 178449336000. Its totient is φ = 16142787360.

The previous prime is 56499780433. The next prime is 56499780457. The reversal of 56499780456 is 65408799465.

56499780456 is a `hidden beast` number, since 56 + 49 + 97 + 8 + 0 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 56499780393 and 56499780402.

It is not an unprimeable number, because it can be changed into a prime (56499780457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1119210 + ... + 1168601.

It is an arithmetic number, because the mean of its divisors is an integer number (1858847250).

Almost surely, 256499780456 is an apocalyptic number.

56499780456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56499780456 is an abundant number, since it is smaller than the sum of its proper divisors (121949555544).

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

56499780456 is a wasteful number, since it uses less digits than its factorization.

56499780456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287844 (or 2287823 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 56499780456 in words is "fifty-six billion, four hundred ninety-nine million, seven hundred eighty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 6174 8232 12348 24696 2287811 4575622 6863433 9151244 13726866 16014677 18302488 20590299 27453732 32029354 41180598 48044031 54907464 64058708 82361196 96088062 112102739 128117416 144132093 164722392 192176124 224205478 288264186 336308217 384352248 448410956 576528372 672616434 784719173 896821912 1008924651 1153056744 1345232868 1569438346 2017849302 2354157519 2690465736 3138876692 4035698604 4708315038 6277753384 7062472557 8071397208 9416630076 14124945114 18833260152 28249890228 56499780456