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93139312896 = 283272825001
BaseRepresentation
bin101011010111110001…
…0010010000100000000
322220102001001022211100
41112233202102010000
53011222131003041
6110442042414400
76505036045200
oct1265742220400
9286361038740
1093139312896
1136555794363
1216074201400
138a24333186
144717c0a400
152651c8d6b6
hex15af892100

93139312896 has 162 divisors, whose sum is σ = 312387832302. Its totient is φ = 26611200000.

The previous prime is 93139312811. The next prime is 93139312901. The reversal of 93139312896 is 69821393139.

It is a happy number.

93139312896 is a `hidden beast` number, since 9 + 313 + 9 + 312 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55161098496 + 37978214400 = 234864^2 + 194880^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 299605 + ... + 525396.

Almost surely, 293139312896 is an apocalyptic number.

93139312896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

93139312896 is an abundant number, since it is smaller than the sum of its proper divisors (219248519406).

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

93139312896 is a wasteful number, since it uses less digits than its factorization.

93139312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825037 (or 825013 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The spelling of 93139312896 in words is "ninety-three billion, one hundred thirty-nine million, three hundred twelve thousand, eight hundred ninety-six".