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58656131424 = 25331117363043
BaseRepresentation
bin110110101000001011…
…011000100101100000
312121101211212012122000
4312220023120211200
51430111432201144
642540220244000
74144360614342
oct665013304540
9177354765560
1058656131424
112296a947780
12b44b9a0600
1356ba202897
142ba61d3292
1517d4799769
hexda82d8960

58656131424 has 192 divisors, whose sum is σ = 197612110080. Its totient is φ = 16728975360.

The previous prime is 58656131381. The next prime is 58656131431. The reversal of 58656131424 is 42413165685.

58656131424 is a `hidden beast` number, since 5 + 8 + 6 + 5 + 613 + 1 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58656131424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19954 + ... + 343089.

It is an arithmetic number, because the mean of its divisors is an integer number (1029229740).

Almost surely, 258656131424 is an apocalyptic number.

58656131424 is a gapful number since it is divisible by the number (54) 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 58656131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98806055040).

58656131424 is an abundant number, since it is smaller than the sum of its proper divisors (138955978656).

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

58656131424 is a wasteful number, since it uses less digits than its factorization.

58656131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363090 (or 363076 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 58656131424 in words is "fifty-eight billion, six hundred fifty-six million, one hundred thirty-one thousand, four hundred twenty-four".