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57147293025 = 3252159372
BaseRepresentation
bin110101001110001111…
…100111110101100001
312110111200201021110100
4311032033213311201
51414014201334100
642130400453013
74062106655514
oct651617476541
9173450637410
1057147293025
1122266180099
12b0aa61a169
1355097376b4
142aa1a6cd7b
1517470a6400
hexd4e3e7d61

57147293025 has 27 divisors (see below), whose sum is σ = 102363574521. Its totient is φ = 30476643840.

The previous prime is 57147293011. The next prime is 57147293051. The reversal of 57147293025 is 52039274175.

It is a happy number.

The square root of 57147293025 is 239055.

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

57147293025 is a `hidden beast` number, since 5 + 71 + 472 + 93 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242144721 + 56905148304 = 15561^2 + 238548^2 .

It is not a de Polignac number, because 57147293025 - 213 = 57147284833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3577857 + ... + 3593793.

Almost surely, 257147293025 is an apocalyptic number.

57147293025 is the 239055-th square number.

57147293025 is the 119528-th centered octagonal number.

It is an amenable number.

57147293025 is a deficient number, since it is larger than the sum of its proper divisors (45216281496).

57147293025 is an frugal number, since it uses more digits than its factorization.

57147293025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31890 (or 15945 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 57147293025 in words is "fifty-seven billion, one hundred forty-seven million, two hundred ninety-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 15937 47811 79685 143433 239055 398425 717165 1195275 3585825 253987969 761963907 1269939845 2285891721 3809819535 6349699225 11429458605 19049097675 57147293025