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23138364769 = 132117012
BaseRepresentation
bin10101100011001001…
…110110110101100001
32012201112220201100221
4111203021312311201
5334341410133034
614343555243041
71446250566262
oct254311666541
965645821327
1023138364769
1198a4004a13
124598ba9481
132249946100
141197028969
15906541bb4
hex563276d61

23138364769 has 9 divisors (see below), whose sum is σ = 25057293849. Its totient is φ = 21356665200.

The previous prime is 23138364737. The next prime is 23138364791. The reversal of 23138364769 is 96746383132.

The square root of 23138364769 is 152113.

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 189750625 + 22948614144 = 13775^2 + 151488^2 .

It is not a de Polignac number, because 23138364769 - 25 = 23138364737 is a prime.

It is a super-2 number, since 2×231383647692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23138368769) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1971619 + ... + 1983319.

It is an arithmetic number, because the mean of its divisors is an integer number (2784143761).

Almost surely, 223138364769 is an apocalyptic number.

23138364769 is the 152113-rd square number.

23138364769 is the 76057-th centered octagonal number.

It is an amenable number.

23138364769 is a deficient number, since it is larger than the sum of its proper divisors (1918929080).

23138364769 is an frugal number, since it uses more digits than its factorization.

23138364769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23428 (or 11714 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The spelling of 23138364769 in words is "twenty-three billion, one hundred thirty-eight million, three hundred sixty-four thousand, seven hundred sixty-nine".

Divisors: 1 13 169 11701 152113 1977469 136913401 1779874213 23138364769