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14757633361 = 292592712
BaseRepresentation
bin11011011111001111…
…11001110101010001
31102002111002110011101
431233213321311101
5220210423231421
610440215144401
71031464546102
oct155747716521
942074073141
1014757633361
116293332409
122a3a375101
131512579c43
149ddd743a9
155b58dc191
hex36f9f9d51

14757633361 has 27 divisors (see below), whose sum is σ = 15769570843. Its totient is φ = 13809960080.

The previous prime is 14757633337. The next prime is 14757633379. The reversal of 14757633361 is 16333675741.

The square root of 14757633361 is 121481.

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., 7738544961 + 7019088400 = 87969^2 + 83780^2 .

It is not a de Polignac number, because 14757633361 - 25 = 14757633329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14757633311) 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, 207853956 + ... + 207854026.

Almost surely, 214757633361 is an apocalyptic number.

14757633361 is the 121481-st square number.

14757633361 is the 60741-st centered octagonal number.

It is an amenable number.

14757633361 is a deficient number, since it is larger than the sum of its proper divisors (1011937482).

14757633361 is an frugal number, since it uses more digits than its factorization.

14757633361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its digits is 952560, while the sum is 46.

The spelling of 14757633361 in words is "fourteen billion, seven hundred fifty-seven million, six hundred thirty-three thousand, three hundred sixty-one".

Divisors: 1 29 59 71 841 1711 2059 3481 4189 5041 49619 59711 100949 121481 146189 247151 297419 2927521 3522949 4239481 7167379 8625151 17547721 207853991 250129379 508883909 14757633361