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83090928981114 = 23233713697812229
BaseRepresentation
bin10010111001001000011101…
…010011100101010001111010
3101220012102012201001010201100
4102321020131103211101322
541342330210304343424
6452415240143432230
723334056452012635
oct2271103523452172
9356172181033640
1083090928981114
112452573526319a
12939b6b3bb5676
133749596ab7052
14167389dccac1c
159915bbd5cdc9
hex4b921d4e547a

83090928981114 has 24 divisors (see below), whose sum is σ = 180564560815860. Its totient is φ = 27614789451648.

The previous prime is 83090928981097. The next prime is 83090928981131. The reversal of 83090928981114 is 41118982909038.

83090928981114 is a `hidden beast` number, since 83 + 0 + 90 + 9 + 289 + 81 + 114 = 666.

It is an interprime number because it is at equal distance from previous prime (83090928981097) and next prime (83090928981131).

It can be written as a sum of positive squares in 2 ways, for example, as 81467177690889 + 1623751290225 = 9025917^2 + 1274265^2 .

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 11 ways as a sum of consecutive naturals, for example, 6848900049 + ... + 6848912180.

Almost surely, 283090928981114 is an apocalyptic number.

83090928981114 is an abundant number, since it is smaller than the sum of its proper divisors (97473631834746).

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

83090928981114 is a wasteful number, since it uses less digits than its factorization.

83090928981114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13697812574 (or 13697812571 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 83090928981114 in words is "eighty-three trillion, ninety billion, nine hundred twenty-eight million, nine hundred eighty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 337 674 1011 2022 3033 6066 13697812229 27395624458 41093436687 82186873374 123280310061 246560620122 4616162721173 9232325442346 13848488163519 27696976327038 41545464490557 83090928981114