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23681235689 = 232375092377
BaseRepresentation
bin10110000011100000…
…101111101011101001
32021010101102102021022
4112003200233223221
5341444344020224
614513511022225
71465562116316
oct260340575351
967111372238
1023681235689
11a052492971
12470a96a975
13230525b6c7
14120917dd0d
1593902765e
hex58382fae9

23681235689 has 24 divisors (see below), whose sum is σ = 25485358920. Its totient is φ = 21986857728.

The previous prime is 23681235659. The next prime is 23681235703. The reversal of 23681235689 is 98653218632.

It can be written as a sum of positive squares in 4 ways, for example, as 10693214464 + 12988021225 = 103408^2 + 113965^2 .

It is a de Polignac number, because none of the positive numbers 2k-23681235689 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23681235689.

It is not an unprimeable number, because it can be changed into a prime (23681235629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9961469 + ... + 9963845.

It is an arithmetic number, because the mean of its divisors is an integer number (1061889955).

Almost surely, 223681235689 is an apocalyptic number.

It is an amenable number.

23681235689 is a deficient number, since it is larger than the sum of its proper divisors (1804123231).

23681235689 is a wasteful number, since it uses less digits than its factorization.

23681235689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2946 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The spelling of 23681235689 in words is "twenty-three billion, six hundred eighty-one million, two hundred thirty-five thousand, six hundred eighty-nine".

Divisors: 1 23 37 509 529 851 2377 11707 18833 19573 54671 87949 269261 433159 1209893 1257433 2022827 9962657 27827539 44766041 46525021 640033397 1029618943 23681235689