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56847320630496 = 25351117137461619
BaseRepresentation
bin11001110110011110011000…
…10110100100010011100000
321110021112212111221122200000
430323033030112210103200
524422341303040133441
6320523144254100000
714655040412440224
oct1473171426442340
9243245774848600
1056847320630496
11171278a4542320
1264614847aa600
1325948aa659ac6
1410075d42aa784
15688ae14222b6
hex33b3cc5a44e0

56847320630496 has 1152 divisors, whose sum is σ = 195798083120640. Its totient is φ = 16033937817600.

The previous prime is 56847320630483. The next prime is 56847320630543. The reversal of 56847320630496 is 69403602374865.

56847320630496 is a `hidden beast` number, since 5 + 6 + 84 + 7 + 3 + 2 + 0 + 63 + 0 + 496 = 666.

It is a super-2 number, since 2×568473206304962 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91837351275 + ... + 91837351893.

It is an arithmetic number, because the mean of its divisors is an integer number (169963613820).

Almost surely, 256847320630496 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 56847320630496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97899041560320).

56847320630496 is an abundant number, since it is smaller than the sum of its proper divisors (138950762490144).

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

56847320630496 is a wasteful number, since it uses less digits than its factorization.

56847320630496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 56847320630496 in words is "fifty-six trillion, eight hundred forty-seven billion, three hundred twenty million, six hundred thirty thousand, four hundred ninety-six".