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57504999204 = 223217223512
BaseRepresentation
bin110101100011100100…
…001010011100100100
312111102121210122002100
4311203210022130210
51420232234433304
642230055412100
74104012266622
oct654344123444
9174377718070
1057504999204
112242a089034
12b18a384030
13556588b363
142ad7384512
1517686b3439
hexd6390a724

57504999204 has 81 divisors (see below), whose sum is σ = 154479122161. Its totient is φ = 18033110400.

The previous prime is 57504999197. The next prime is 57504999239. The reversal of 57504999204 is 40299940575.

The square root of 57504999204 is 239802.

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

57504999204 is a `hidden beast` number, since 575 + 0 + 49 + 9 + 9 + 20 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44770328100 + 12734671104 = 211590^2 + 112848^2 .

It is a Duffinian number.

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, 24458629 + ... + 24460979.

Almost surely, 257504999204 is an apocalyptic number.

57504999204 is the 239802-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57504999204

57504999204 is an abundant number, since it is smaller than the sum of its proper divisors (96974122957).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57504999204 is a wasteful number, since it uses less digits than its factorization.

57504999204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 57504999204 in words is "fifty-seven billion, five hundred four million, nine hundred ninety-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2351 2601 3468 4702 5202 7053 9404 10404 14106 21159 28212 39967 42318 79934 84636 119901 159868 239802 359703 479604 679439 719406 1358878 1438812 2038317 2717756 4076634 5527201 6114951 8153268 11054402 12229902 16581603 22108804 24459804 33163206 49744809 66326412 93962417 99489618 187924834 198979236 281887251 375849668 563774502 845661753 1127549004 1597361089 1691323506 3194722178 3382647012 4792083267 6389444356 9584166534 14376249801 19168333068 28752499602 57504999204