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56050970976 = 25357111319379
BaseRepresentation
bin110100001100111001…
…011111000101100000
312100200021210100100000
4310030321133011200
51404243022032401
641425514500000
74022665251360
oct641471370540
9170607710300
1056050970976
1121853348110
12aa43434600
135393573b20
1429da20a9a0
1516d0bea186
hexd0ce5f160

56050970976 has 1152 divisors, whose sum is σ = 234236620800. Its totient is φ = 12697896960.

The previous prime is 56050970953. The next prime is 56050970993. The reversal of 56050970976 is 67907905065.

56050970976 is a `hidden beast` number, since 5 + 60 + 509 + 7 + 0 + 9 + 76 = 666.

It is a super-2 number, since 2×560509709762 (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147891555 + ... + 147891933.

It is an arithmetic number, because the mean of its divisors is an integer number (203330400).

Almost surely, 256050970976 is an apocalyptic number.

56050970976 is a gapful number since it is divisible by the number (56) 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 56050970976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117118310400).

56050970976 is an abundant number, since it is smaller than the sum of its proper divisors (178185649824).

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

56050970976 is a wasteful number, since it uses less digits than its factorization.

56050970976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 56050970976 in words is "fifty-six billion, fifty million, nine hundred seventy thousand, nine hundred seventy-six".