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102457936431 = 3215349741691
BaseRepresentation
bin101111101101011111…
…0000000101000101111
3100210110110200110011100
41133122332000220233
53134313212431211
6115022445054143
710255001042634
oct1373276005057
9323413613140
10102457936431
113a4a791a124
1217a34b57353
13987ab01cb6
144d5d68218b
1529e9e07156
hex17daf80a2f

102457936431 has 12 divisors (see below), whose sum is σ = 148004638600. Its totient is φ = 68300748720.

The previous prime is 102457936423. The next prime is 102457936457. The reversal of 102457936431 is 134639754201.

102457936431 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 579 + 36 + 43 + 1 = 666.

It is not a de Polignac number, because 102457936431 - 23 = 102457936423 is a prime.

It is a super-2 number, since 2×1024579364312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102457936421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232705 + ... + 508986.

Almost surely, 2102457936431 is an apocalyptic number.

102457936431 is a deficient number, since it is larger than the sum of its proper divisors (45546702169).

102457936431 is a wasteful number, since it uses less digits than its factorization.

102457936431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757046 (or 757043 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 102457936431 in words is "one hundred two billion, four hundred fifty-seven million, nine hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 15349 46047 138141 741691 2225073 6675219 11384215159 34152645477 102457936431