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56440705478238 = 2337114998799343
BaseRepresentation
bin11001101010101001000000…
…01100110110111001011110
321101211200022210210201202000
430311110200030312321132
524344211031100300423
6320012300244143130
714613464203613064
oct1465244014667136
9241750283721660
1056440705478238
1116a90406922144
1263b6706097aa6
1325654496803b3
14dd1a5d72a034
1567d243dcd843
hex335520336e5e

56440705478238 has 64 divisors (see below), whose sum is σ = 128043949824000. Its totient is φ = 18424101296160.

The previous prime is 56440705478219. The next prime is 56440705478279. The reversal of 56440705478238 is 83287450704465.

56440705478238 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 0 + 7 + 0 + 547 + 82 + 3 + 8 = 666.

56440705478238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48828406 + ... + 49970937.

It is an arithmetic number, because the mean of its divisors is an integer number (2000686716000).

Almost surely, 256440705478238 is an apocalyptic number.

56440705478238 is an abundant number, since it is smaller than the sum of its proper divisors (71603244345762).

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

56440705478238 is a wasteful number, since it uses less digits than its factorization.

56440705478238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98799574 (or 98799568 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 56440705478238 in words is "fifty-six trillion, four hundred forty billion, seven hundred five million, four hundred seventy-eight thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 71 142 149 213 298 426 447 639 894 1278 1341 1917 2682 3834 4023 8046 10579 21158 31737 63474 95211 190422 285633 571266 98799343 197598686 296398029 592796058 889194087 1778388174 2667582261 5335164522 7014753353 14029506706 14721102107 21044260059 29442204214 42088520118 44163306321 63132780177 88326612642 126265560354 132489918963 189398340531 264979837926 378796681062 397469756889 794939513778 1045198249597 2090396499194 3135594748791 6271189497582 9406784246373 18813568492746 28220352739119 56440705478238