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56848936320 = 273651121953
BaseRepresentation
bin110100111100011101…
…011110110110000000
312102201220022012000000
4310330131132312000
51412411311430240
642041022000000
74051524662061
oct647435366600
9172656265000
1056848936320
1122122819300
12b026716000
13548c993877
142a741a6568
15172acbe430
hexd3c75ed80

56848936320 has 1344 divisors, whose sum is σ = 240207735600. Its totient is φ = 12809871360.

The previous prime is 56848936307. The next prime is 56848936337. The reversal of 56848936320 is 2363984865.

56848936320 is a `hidden beast` number, since 568 + 48 + 9 + 3 + 6 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1072621414 + ... + 1072621466.

Almost surely, 256848936320 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 56848936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120103867800).

56848936320 is an abundant number, since it is smaller than the sum of its proper divisors (183358799280).

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

56848936320 is a wasteful number, since it uses less digits than its factorization.

56848936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 56848936320 in words is "fifty-six billion, eight hundred forty-eight million, nine hundred thirty-six thousand, three hundred twenty".