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56050640256 = 2731316136961
BaseRepresentation
bin110100001100111000…
…001110010110000000
312100200021011112200010
4310030320032112000
51404242430442011
641425503424520
74022662403232
oct641470162600
9170607145603
1056050640256
1121853141696
12aa432b5140
135393489430
1429da162252
1516d0b821a6
hexd0ce0e580

56050640256 has 128 divisors (see below), whose sum is σ = 160459619040. Its totient is φ = 17233182720.

The previous prime is 56050640251. The next prime is 56050640293. The reversal of 56050640256 is 65204605065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56050640251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8048616 + ... + 8055576.

Almost surely, 256050640256 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 56050640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80229809520).

56050640256 is an abundant number, since it is smaller than the sum of its proper divisors (104408978784).

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

56050640256 is a wasteful number, since it uses less digits than its factorization.

56050640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 56050640256 in words is "fifty-six billion, fifty million, six hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1613 1664 2496 3226 4839 4992 6452 6961 9678 12904 13922 19356 20883 20969 25808 27844 38712 41766 41938 51616 55688 62907 77424 83532 83876 90493 103232 111376 125814 154848 167064 167752 180986 206464 222752 251628 271479 309696 334128 335504 361972 445504 503256 542958 619392 668256 671008 723944 891008 1006512 1085916 1336512 1342016 1447888 2013024 2171832 2673024 2684032 2895776 4026048 4343664 5791552 8052096 8687328 11228093 11583104 17374656 22456186 33684279 34749312 44912372 67368558 89824744 134737116 145965209 179649488 269474232 291930418 359298976 437895627 538948464 583860836 718597952 875791254 1077896928 1167721672 1437195904 1751582508 2155793856 2335443344 3503165016 4311587712 4670886688 7006330032 9341773376 14012660064 18683546752 28025320128 56050640256