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23561329009 = 292672792
BaseRepresentation
bin10101111100010111…
…010101100101110001
32020211000210112020011
4111330113111211301
5341223200012014
614453545014521
71462604664211
oct257427254561
966730715204
1023561329009
119aa0835239
124696784441
1322b64680ca
1411d728a241
1592d73e7c4
hex57c5d5971

23561329009 has 27 divisors (see below), whose sum is σ = 25088978187. Its totient is φ = 22125671568.

The previous prime is 23561328991. The next prime is 23561329019. The reversal of 23561329009 is 90092316532.

The square root of 23561329009 is 153497.

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., 12354989409 + 11206339600 = 111153^2 + 105860^2 .

It is not a de Polignac number, because 23561329009 - 25 = 23561328977 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23561329019) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298244632 + ... + 298244710.

Almost surely, 223561329009 is an apocalyptic number.

23561329009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

23561329009 is the 153497-th square number.

23561329009 is the 76749-th centered octagonal number.

It is an amenable number.

23561329009 is a deficient number, since it is larger than the sum of its proper divisors (1527649178).

23561329009 is an frugal number, since it uses more digits than its factorization.

23561329009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The spelling of 23561329009 in words is "twenty-three billion, five hundred sixty-one million, three hundred twenty-nine thousand, nine".

Divisors: 1 29 67 79 841 1943 2291 4489 5293 6241 56347 66439 130181 153497 180989 354631 418147 3775249 4451413 5248681 10284299 12126263 28015849 298244671 351661627 812459621 23561329009