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56240641056 = 25310922723677
BaseRepresentation
bin110100011000001101…
…000001010000100000
312101011111200120202210
4310120031001100200
51410140101003211
641500412042120
74030460363355
oct643015012040
9171144616683
1056240641056
1121940415046
12aa96a63340
1353c3952342
142a174a062c
1516e26b39a6
hexd18341420

56240641056 has 96 divisors (see below), whose sum is σ = 149648748480. Its totient is φ = 18492281856.

The previous prime is 56240641033. The next prime is 56240641069. The reversal of 56240641056 is 65014604265.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2363490 + ... + 2387166.

It is an arithmetic number, because the mean of its divisors is an integer number (1558841130).

Almost surely, 256240641056 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 56240641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74824374240).

56240641056 is an abundant number, since it is smaller than the sum of its proper divisors (93408107424).

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

56240641056 is a wasteful number, since it uses less digits than its factorization.

56240641056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24026 (or 24018 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 56240641056 in words is "fifty-six billion, two hundred forty million, six hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 227 327 436 454 654 681 872 908 1308 1362 1744 1816 2616 2724 3488 3632 5232 5448 7264 10464 10896 21792 23677 24743 47354 49486 71031 74229 94708 98972 142062 148458 189416 197944 284124 296916 378832 395888 568248 593832 757664 791776 1136496 1187664 2272992 2375328 2580793 5161586 5374679 7742379 10323172 10749358 15484758 16124037 20646344 21498716 30969516 32248074 41292688 42997432 61939032 64496148 82585376 85994864 123878064 128992296 171989728 247756128 257984592 515969184 585840011 1171680022 1757520033 2343360044 3515040066 4686720088 7030080132 9373440176 14060160264 18746880352 28120320528 56240641056