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68582972520 = 2332510713912809
BaseRepresentation
bin111111110111110111…
…010001110001101000
320120000122221222121100
4333313313101301220
52110424220110040
651301231041400
74645356435126
oct776767216150
9216018858540
1068582972520
11270a4333387
1211360370260
13660c9b675a
143468750916
151bb6005b30
hexff7dd1c68

68582972520 has 192 divisors, whose sum is σ = 226614024000. Its totient is φ = 17986120704.

The previous prime is 68582972509. The next prime is 68582972537. The reversal of 68582972520 is 2527928586.

It is a happy number.

68582972520 is a `hidden beast` number, since 6 + 8 + 582 + 9 + 7 + 2 + 52 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5347876 + ... + 5360684.

It is an arithmetic number, because the mean of its divisors is an integer number (1180281375).

Almost surely, 268582972520 is an apocalyptic number.

68582972520 is a gapful number since it is divisible by the number (60) 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 68582972520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113307012000).

68582972520 is an abundant number, since it is smaller than the sum of its proper divisors (158031051480).

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

68582972520 is a wasteful number, since it uses less digits than its factorization.

68582972520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 68582972520 in words is "sixty-eight billion, five hundred eighty-two million, nine hundred seventy-two thousand, five hundred twenty".