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15244593961 = 372472712
BaseRepresentation
bin11100011001010011…
…00000101100101001
31110100102101121112011
432030221200230221
5222210104001321
611000412315521
71046526624232
oct161451405451
943312347464
1015244593961
1165131a3093
122b55472ba1
13158c417bcc
14a488d4089
155e352bae1
hex38ca60b29

15244593961 has 27 divisors (see below), whose sum is σ = 16236837687. Its totient is φ = 14312526480.

The previous prime is 15244593953. The next prime is 15244593979. The reversal of 15244593961 is 16939544251.

The square root of 15244593961 is 123469.

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., 13641072025 + 1603521936 = 116795^2 + 40044^2 .

It is not a de Polignac number, because 15244593961 - 23 = 15244593953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15244593941) 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, 214712556 + ... + 214712626.

Almost surely, 215244593961 is an apocalyptic number.

15244593961 is the 123469-th square number.

15244593961 is the 61735-th centered octagonal number.

It is an amenable number.

15244593961 is a deficient number, since it is larger than the sum of its proper divisors (992243726).

15244593961 is an frugal number, since it uses more digits than its factorization.

15244593961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

Multiplying 15244593961 by its sum of digits (49), we get a square (746985104089 = 8642832).

The spelling of 15244593961 in words is "fifteen billion, two hundred forty-four million, five hundred ninety-three thousand, nine hundred sixty-one".

Divisors: 1 37 47 71 1369 1739 2209 2627 3337 5041 64343 81733 97199 123469 156839 186517 236927 3024121 4568353 5803043 6901129 8766299 11135569 214712591 324353063 412016053 15244593961