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59140996992 = 2733711172769
BaseRepresentation
bin110111000101000100…
…111111111110000000
312122122122012221011000
4313011010333332000
51432110043400432
643100300452000
74162366115520
oct670504777600
9178578187130
1059140996992
1123099607420
12b56624a000
1357667b909c
142c10769680
15181212357c
hexdc513ff80

59140996992 has 768 divisors, whose sum is σ = 231473088000. Its totient is φ = 14438891520.

The previous prime is 59140996973. The next prime is 59140996997. The reversal of 59140996992 is 29969904195.

It is a happy number.

59140996992 is a `hidden beast` number, since 59 + 1 + 409 + 96 + 9 + 92 = 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 (59140996997) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 76905984 + ... + 76906752.

It is an arithmetic number, because the mean of its divisors is an integer number (301397250).

Almost surely, 259140996992 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 59140996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115736544000).

59140996992 is an abundant number, since it is smaller than the sum of its proper divisors (172332091008).

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

59140996992 is a wasteful number, since it uses less digits than its factorization.

59140996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 59140996992 in words is "fifty-nine billion, one hundred forty million, nine hundred ninety-six thousand, nine hundred ninety-two".