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93681272832 = 2113719711057
BaseRepresentation
bin101011100111111010…
…1101100100000000000
322221210210211202002120
41113033311230200000
53013324401212312
6111011522444240
76524336452260
oct1271765544000
9287723752076
1093681272832
11368036aa934
12161a5803680
138aac6b9c24
144769ba57a0
15268464428c
hex15cfd6c800

93681272832 has 192 divisors, whose sum is σ = 286909983360. Its totient is φ = 26627801088.

The previous prime is 93681272827. The next prime is 93681272873. The reversal of 93681272832 is 23827218639.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 8467048 + ... + 8478104.

It is an arithmetic number, because the mean of its divisors is an integer number (1494322830).

Almost surely, 293681272832 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 93681272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143454991680).

93681272832 is an abundant number, since it is smaller than the sum of its proper divisors (193228710528).

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

93681272832 is a wasteful number, since it uses less digits than its factorization.

93681272832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11266 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 93681272832 in words is "ninety-three billion, six hundred eighty-one million, two hundred seventy-two thousand, eight hundred thirty-two".