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23009552721 = 325928572
BaseRepresentation
bin10101011011011110…
…011110100101010001
32012101120112101110100
4111123132132211101
5334110421141341
614323114323013
71443124654041
oct253336364521
965346471410
1023009552721
119838324581
124561a29469
13222905526c
141183c97721
158ea09a3b6
hex55b79e951

23009552721 has 27 divisors (see below), whose sum is σ = 33848387131. Its totient is φ = 15062110944.

The previous prime is 23009552689. The next prime is 23009552807. The reversal of 23009552721 is 12725590032.

The square root of 23009552721 is 151689.

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

23009552721 is a `hidden beast` number, since 2 + 30 + 0 + 9 + 552 + 72 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21323300625 + 1686252096 = 146025^2 + 41064^2 .

It is not a de Polignac number, because 23009552721 - 25 = 23009552689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23009552021) 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, 26848525 + ... + 26849381.

Almost surely, 223009552721 is an apocalyptic number.

23009552721 is the 151689-th square number.

23009552721 is the 75845-th centered octagonal number.

It is an amenable number.

23009552721 is a deficient number, since it is larger than the sum of its proper divisors (10838834410).

23009552721 is an frugal number, since it uses more digits than its factorization.

23009552721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 23009552721 by its sum of digits (36), we get a square (828343897956 = 9101342).

The spelling of 23009552721 in words is "twenty-three billion, nine million, five hundred fifty-two thousand, seven hundred twenty-one".

Divisors: 1 3 9 59 177 531 857 2571 3481 7713 10443 31329 50563 151689 455067 734449 2203347 2983217 6610041 8949651 26848953 43332491 129997473 389992419 2556616969 7669850907 23009552721