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102639663 = 337311083
BaseRepresentation
bin1100001111000…
…10100000101111
321011010122011000
412013202200233
5202233432123
614103531343
72354265000
oct607424057
9234118130
10102639663
1152a34775
122a459b53
1318359139
14d8bb1a7
159026b43
hex61e282f

102639663 has 32 divisors (see below), whose sum is σ = 177344000. Its totient is φ = 58645944.

The previous prime is 102639661. The next prime is 102639697. The reversal of 102639663 is 366936201.

102639663 is a `hidden beast` number, since 10 + 2 + 639 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 102639663 - 21 = 102639661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102639661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3720 + ... + 14802.

It is an arithmetic number, because the mean of its divisors is an integer number (5542000).

Almost surely, 2102639663 is an apocalyptic number.

102639663 is a deficient number, since it is larger than the sum of its proper divisors (74704337).

102639663 is an equidigital number, since it uses as much as digits as its factorization.

102639663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 102639663 is about 10131.1234816283. The cubic root of 102639663 is about 468.2075427277.

The spelling of 102639663 in words is "one hundred two million, six hundred thirty-nine thousand, six hundred sixty-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 3087 9261 11083 33249 77581 99747 232743 299241 543067 698229 1629201 2094687 3801469 4887603 11404407 14662809 34213221 102639663