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57974442669025 = 52292525112
BaseRepresentation
bin11010010111010001110100…
…00011111011001111100001
321121021022011120220201211021
431023220322003323033201
530044323124310402100
6323145031415045441
715132341506622341
oct1513507203731741
9247238146821737
1057974442669025
1117521906550293
126603a03670881
132646c744a468c
141045d998a2d21
156a80ad012a1a
hex34ba3a0fb3e1

57974442669025 has 27 divisors (see below), whose sum is σ = 74454113548633. Its totient is φ = 44779406386400.

The previous prime is 57974442668917. The next prime is 57974442669029. The reversal of 57974442669025 is 52096624447975.

The square root of 57974442669025 is 7614095.

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

It can be written as a sum of positive squares in 4 ways, for example, as 796890079969 + 57177552589056 = 892687^2 + 7561584^2 .

It is a de Polignac number, because none of the positive numbers 2k-57974442669025 is a prime.

It is a super-2 number, since 2×579744426690252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57974442669029) 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, 1104017520 + ... + 1104070030.

Almost surely, 257974442669025 is an apocalyptic number.

57974442669025 is the 7614095-th square number.

57974442669025 is the 3807048-th centered octagonal number.

It is an amenable number.

57974442669025 is a deficient number, since it is larger than the sum of its proper divisors (16479670879608).

57974442669025 is an frugal number, since it uses more digits than its factorization.

57974442669025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105090 (or 52545 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 70.

The spelling of 57974442669025 in words is "fifty-seven trillion, nine hundred seventy-four billion, four hundred forty-two million, six hundred sixty-nine thousand, twenty-five".

Divisors: 1 5 25 29 145 725 841 4205 21025 52511 262555 1312775 1522819 7614095 38070475 44161751 220808755 1104043775 2757405121 13787025605 68935128025 79964748509 399823742545 1999118712725 2318977706761 11594888533805 57974442669025