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56948749704 = 233471121943127
BaseRepresentation
bin110101000010011010…
…001111010110001000
312102222212010020020000
4311002122033112020
51413112334442304
642054545203000
74054146246150
oct650232172610
9172885106200
1056948749704
11221740a2600
12b054030460
1354a7570442
142a83549760
151734938939
hexd4268f588

56948749704 has 960 divisors, whose sum is σ = 217525862400. Its totient is φ = 13579695360.

The previous prime is 56948749687. The next prime is 56948749709. The reversal of 56948749704 is 40794784965.

56948749704 is a `hidden beast` number, since 5 + 69 + 4 + 87 + 497 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56948749709) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 448415289 + ... + 448415415.

It is an arithmetic number, because the mean of its divisors is an integer number (226589440).

Almost surely, 256948749704 is an apocalyptic number.

56948749704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56948749704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108762931200).

56948749704 is an abundant number, since it is smaller than the sum of its proper divisors (160577112696).

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

56948749704 is a wasteful number, since it uses less digits than its factorization.

56948749704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 56948749704 in words is "fifty-six billion, nine hundred forty-eight million, seven hundred forty-nine thousand, seven hundred four".