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23615390929 = 132118212
BaseRepresentation
bin10101111111100101…
…100100010011010001
32020221210112011020111
4111333211210103101
5341331020002204
614503155441321
71464132340144
oct257745442321
966853464214
1023615390929
11a0192aa809
1246b08b6241
1322c4716300
14120052005b
1593336cd04
hex57f9644d1

23615390929 has 9 divisors (see below), whose sum is σ = 25573858929. Its totient is φ = 21796978320.

The previous prime is 23615390923. The next prime is 23615390941. The reversal of 23615390929 is 92909351632.

It is a happy number.

The square root of 23615390929 is 153673.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12070318225 + 11545072704 = 109865^2 + 107448^2 .

It is not a de Polignac number, because 23615390929 - 27 = 23615390801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23615390923) 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 8 ways as a sum of consecutive naturals, for example, 1991839 + ... + 2003659.

It is an arithmetic number, because the mean of its divisors is an integer number (2841539881).

Almost surely, 223615390929 is an apocalyptic number.

23615390929 is the 153673-rd square number.

23615390929 is the 76837-th centered octagonal number.

It is an amenable number.

23615390929 is a deficient number, since it is larger than the sum of its proper divisors (1958468000).

23615390929 is an frugal number, since it uses more digits than its factorization.

23615390929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23668 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 49.

Multiplying 23615390929 by its sum of digits (49), we get a square (1157154155521 = 10757112).

The spelling of 23615390929 in words is "twenty-three billion, six hundred fifteen million, three hundred ninety thousand, nine hundred twenty-nine".

Divisors: 1 13 169 11821 153673 1997749 139736041 1816568533 23615390929