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27292438657 = 1131317252481
BaseRepresentation
bin11001011010110000…
…011001000010000001
32121110001112112110101
4121122300121002001
5421343331014112
620312111402401
71654221621001
oct313260310201
977401475411
1027292438657
1110635963130
125358223401
13275c461ab3
14146ca08001
15a9b09d757
hex65ac19081

27292438657 has 16 divisors (see below), whose sum is σ = 30831081984. Its totient is φ = 23935104000.

The previous prime is 27292438651. The next prime is 27292438661. The reversal of 27292438657 is 75683429272.

It is a cyclic number.

It is not a de Polignac number, because 27292438657 - 211 = 27292436609 is a prime.

It is a super-2 number, since 2×272924386572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27292438598 and 27292438607.

It is not an unprimeable number, because it can be changed into a prime (27292438651) 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 15 ways as a sum of consecutive naturals, for example, 18144 + ... + 234337.

It is an arithmetic number, because the mean of its divisors is an integer number (1926942624).

Almost surely, 227292438657 is an apocalyptic number.

It is an amenable number.

27292438657 is a deficient number, since it is larger than the sum of its proper divisors (3538643327).

27292438657 is a wasteful number, since it uses less digits than its factorization.

27292438657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252840.

The product of its digits is 10160640, while the sum is 55.

The spelling of 27292438657 in words is "twenty-seven billion, two hundred ninety-two million, four hundred thirty-eight thousand, six hundred fifty-seven".

Divisors: 1 11 31 317 341 3487 9827 108097 252481 2777291 7826911 80036477 86096021 880401247 2481130787 27292438657