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57381201378 = 23213124312
BaseRepresentation
bin110101011100001011…
…111010010111100010
312111002222212001101200
4311130023322113202
51420004041421003
642205514142030
74100650110204
oct653413722742
9174088761350
1057381201378
1122376212986
12b154a21916
1355460348c7
142ac4b5a774
15175c8ac6a3
hexd5c2fa5e2

57381201378 has 54 divisors (see below), whose sum is σ = 125573586411. Its totient is φ = 18937019400.

The previous prime is 57381201337. The next prime is 57381201401. The reversal of 57381201378 is 87310218375.

57381201378 is a `hidden beast` number, since 5 + 73 + 8 + 1 + 201 + 378 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28690600689 + 28690600689 = 169383^2 + 169383^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=169383.

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, 133134823 + ... + 133135253.

Almost surely, 257381201378 is an apocalyptic number.

57381201378 is an abundant number, since it is smaller than the sum of its proper divisors (68192385033).

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

57381201378 is an equidigital number, since it uses as much as digits as its factorization.

57381201378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 57381201378 in words is "fifty-seven billion, three hundred eighty-one million, two hundred one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 131 262 393 431 786 862 1179 1293 2358 2586 3879 7758 17161 34322 51483 56461 102966 112922 154449 169383 185761 308898 338766 371522 508149 557283 1016298 1114566 1671849 3343698 7396391 14792782 22189173 24334691 44378346 48669382 66567519 73004073 133135038 146008146 219012219 438024438 3187844521 6375689042 9563533563 19127067126 28690600689 57381201378