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56989694361600 = 21635527112132
BaseRepresentation
bin11001111010100111100100…
…11111010000000000000000
321110210011100210020120100000
430331103302133100000000
524432204343224032400
6321112412033200000
715001240516254330
oct1475236237200000
9243704323216300
1056989694361600
1117182214826800
126484b99400000
1325a5149c3ab00
14101045cc7b0c0
1568c67572b600
hex33d4f27d0000

56989694361600 has 5508 divisors, whose sum is σ = 287980053492768. Its totient is φ = 10931090227200.

The previous prime is 56989694361553. The next prime is 56989694361641. The reversal of 56989694361600 is 616349698965.

56989694361600 is a `hidden beast` number, since 5 + 6 + 9 + 8 + 9 + 6 + 9 + 4 + 3 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 323 ways as a sum of consecutive naturals, for example, 4383822643194 + ... + 4383822643206.

Almost surely, 256989694361600 is an apocalyptic number.

56989694361600 is a gapful number since it is divisible by the number (50) 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 56989694361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990026746384).

56989694361600 is an abundant number, since it is smaller than the sum of its proper divisors (230990359131168).

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

56989694361600 is an equidigital number, since it uses as much as digits as its factorization.

56989694361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 56989694361600 in words is "fifty-six trillion, nine hundred eighty-nine billion, six hundred ninety-four million, three hundred sixty-one thousand, six hundred".