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57104271225 = 32528921792
BaseRepresentation
bin110101001011101011…
…100000011101111001
312110101200202112122100
4311023223200131321
51413422143134400
642122222414013
74061045203521
oct651353403571
9173350675570
1057104271225
1122243966191
12b098131309
135500853601
142a9a070681
151743409100
hexd4bae0779

57104271225 has 81 divisors (see below), whose sum is σ = 104023339693. Its totient is φ = 29945182080.

The previous prime is 57104271121. The next prime is 57104271239. The reversal of 57104271225 is 52217240175.

The square root of 57104271225 is 238965.

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

57104271225 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 427 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11883398121 + 45220873104 = 109011^2 + 212652^2 .

It is not a de Polignac number, because 57104271225 - 213 = 57104263033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57104271225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 319018186 + ... + 319018364.

Almost surely, 257104271225 is an apocalyptic number.

57104271225 is the 238965-th square number.

57104271225 is the 119483-rd centered octagonal number.

It is an amenable number.

57104271225 is a deficient number, since it is larger than the sum of its proper divisors (46919068468).

57104271225 is an equidigital number, since it uses as much as digits as its factorization.

57104271225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Multiplying 57104271225 by its sum of digits (36), we get a square (2055753764100 = 14337902).

It can be divided in two parts, 57104 and 271225, that added together give a square (328329 = 5732).

The spelling of 57104271225 in words is "fifty-seven billion, one hundred four million, two hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 179 225 267 445 537 801 895 1335 1611 2225 2685 4005 4475 6675 7921 8055 13425 15931 20025 23763 32041 39605 40275 47793 71289 79655 96123 118815 143379 160205 198025 238965 288369 356445 398275 480615 594075 716895 801025 1194825 1417859 1441845 1782225 2403075 2851649 3584475 4253577 7089295 7209225 8554947 12760731 14258245 21267885 25664841 35446475 42774735 63803655 71291225 106339425 128324205 213873675 253796761 319018275 641621025 761390283 1268983805 2284170849 3806951415 6344919025 11420854245 19034757075 57104271225