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253589794929 = 3862172
BaseRepresentation
bin1110110000101100100…
…0010011000001110001
3220020120002221100000000
43230023020103001301
513123322441414204
6312255245220213
724215122456122
oct3541310230161
9806502840000
10253589794929
1198601912319
1241192861669
131abb4a07cc3
14c3b94a6049
1568e3062039
hex3b0b213071

253589794929 has 27 divisors (see below), whose sum is σ = 380426558187. Its totient is φ = 169032670128.

The previous prime is 253589794907. The next prime is 253589794961. The reversal of 253589794929 is 929497985352.

The square root of 253589794929 is 503577.

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

253589794929 is a `hidden beast` number, since 2 + 53 + 5 + 89 + 7 + 9 + 492 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 186740658225 + 66849136704 = 432135^2 + 258552^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 253589794929 - 227 = 253455577201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253589794229) 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, 40786629 + ... + 40792845.

Almost surely, 2253589794929 is an apocalyptic number.

253589794929 is the 503577-th square number.

253589794929 is the 251789-th centered octagonal number.

It is an amenable number.

253589794929 is a deficient number, since it is larger than the sum of its proper divisors (126836763258).

253589794929 is an frugal number, since it uses more digits than its factorization.

253589794929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458 (or 6220 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 253589794929 in words is "two hundred fifty-three billion, five hundred eighty-nine million, seven hundred ninety-four thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 2187 6217 6561 18651 55953 167859 503577 1510731 4532193 13596579 38651089 40789737 115953267 347859801 1043579403 3130738209 9392214627 28176643881 84529931643 253589794929