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92537031601 = 72434572
BaseRepresentation
bin101011000101110100…
…0110000101110110001
322211212001202021012201
41112023220300232301
53004003440002401
6110302205423201
76454103535100
oct1261350605661
9284761667181
1092537031601
1136276818523
1215b2656ab01
138959619101
14469bc2c037
152618e6eb01
hex158ba30bb1

92537031601 has 9 divisors (see below), whose sum is σ = 107647595499. Its totient is φ = 79315630464.

The previous prime is 92537031581. The next prime is 92537031607. The reversal of 92537031601 is 10613073529.

The square root of 92537031601 is 304199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54580640625 + 37956390976 = 233625^2 + 194824^2 .

It is not a de Polignac number, because 92537031601 - 227 = 92402813873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92537031607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2107665 + ... + 2151121.

Almost surely, 292537031601 is an apocalyptic number.

92537031601 is the 304199-th square number.

92537031601 is the 152100-th centered octagonal number.

It is an amenable number.

92537031601 is a deficient number, since it is larger than the sum of its proper divisors (15110563898).

92537031601 is an frugal number, since it uses more digits than its factorization.

92537031601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86928 (or 43464 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 92537031601 in words is "ninety-two billion, five hundred thirty-seven million, thirty-one thousand, six hundred one".

Divisors: 1 7 49 43457 304199 2129393 1888510849 13219575943 92537031601