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23349979249 = 41237272
BaseRepresentation
bin10101101111110001…
…000110100001110001
32020021022002211212021
4111233301012201301
5340310043313444
614420555031441
71454430356152
oct255761064161
966238084767
1023349979249
1199a2500013
124637a3b581
132281738a8c
1411b7191929
15919de2584
hex56fc46871

23349979249 has 9 divisors (see below), whose sum is σ = 23939804811. Its totient is φ = 22774355280.

The previous prime is 23349979229. The next prime is 23349979259. The reversal of 23349979249 is 94297994332.

The square root of 23349979249 is 152807.

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

It can be written as a sum of positive squares in only one way, i.e., 1125132849 + 22224846400 = 33543^2 + 149080^2 .

It is not a de Polignac number, because 23349979249 - 215 = 23349946481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23349979229) 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, 6263224 + ... + 6266950.

Almost surely, 223349979249 is an apocalyptic number.

23349979249 is the 152807-th square number.

23349979249 is the 76404-th centered octagonal number.

It is an amenable number.

23349979249 is a deficient number, since it is larger than the sum of its proper divisors (589825562).

23349979249 is an frugal number, since it uses more digits than its factorization.

23349979249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 3768 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 61.

The spelling of 23349979249 in words is "twenty-three billion, three hundred forty-nine million, nine hundred seventy-nine thousand, two hundred forty-nine".

Divisors: 1 41 1681 3727 152807 6265087 13890529 569511689 23349979249