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23279071057 = 1121711317001
BaseRepresentation
bin10101101011100010…
…100110111101010001
32020002100200100002221
4111223202212331101
5340133420233212
614405543141041
71452606560554
oct255342467521
966070610087
1023279071057
119966479700
124618144781
13226cb3ca78
1411ab9b469b
15913a87807
hex56b8a6f51

23279071057 has 12 divisors (see below), whose sum is σ = 27092902788. Its totient is φ = 19917920000.

The previous prime is 23279071043. The next prime is 23279071063. The reversal of 23279071057 is 75017097232.

It can be written as a sum of positive squares in 2 ways, for example, as 7265687121 + 16013383936 = 85239^2 + 126544^2 .

It is a de Polignac number, because none of the positive numbers 2k-23279071057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23279071027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5656444 + ... + 5660557.

It is an arithmetic number, because the mean of its divisors is an integer number (2257741899).

Almost surely, 223279071057 is an apocalyptic number.

It is an amenable number.

23279071057 is a deficient number, since it is larger than the sum of its proper divisors (3813831731).

23279071057 is a wasteful number, since it uses less digits than its factorization.

23279071057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317040 (or 11317029 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The spelling of 23279071057 in words is "twenty-three billion, two hundred seventy-nine million, seventy-one thousand, fifty-seven".

Divisors: 1 11 17 121 187 2057 11317001 124487011 192389017 1369357121 2116279187 23279071057