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57349712484 = 223216722392
BaseRepresentation
bin110101011010010011…
…110010101001100100
312111000210121020202100
4311122103302221210
51414423011244414
642202431212100
74100115340641
oct653223625144
9174023536670
1057349712484
112235a4658a9
12b146377030
13553c65b01c
142ac08c0dc8
151759c3c609
hexd5a4f2a64

57349712484 has 81 divisors (see below), whose sum is σ = 146453359507. Its totient is φ = 18922593648.

The previous prime is 57349712471. The next prime is 57349712489. The reversal of 57349712484 is 48421794375.

The square root of 57349712484 is 239478.

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

57349712484 is a `hidden beast` number, since 5 + 73 + 4 + 97 + 1 + 2 + 484 = 666.

57349712484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 57349712484.

It is not an unprimeable number, because it can be changed into a prime (57349712489) 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, 239956837 + ... + 239957075.

Almost surely, 257349712484 is an apocalyptic number.

57349712484 is the 239478-th square number.

It is an amenable number.

57349712484 is an abundant number, since it is smaller than the sum of its proper divisors (89103647023).

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

57349712484 is a wasteful number, since it uses less digits than its factorization.

57349712484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 57349712484 in words is "fifty-seven billion, three hundred forty-nine million, seven hundred twelve thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167 239 334 478 501 668 717 956 1002 1434 1503 2004 2151 2868 3006 4302 6012 8604 27889 39913 55778 57121 79826 83667 111556 114242 119739 159652 167334 171363 228484 239478 251001 334668 342726 359217 478956 502002 514089 685452 718434 1004004 1028178 1436868 2056356 6665471 9539207 13330942 19078414 19996413 26661884 28617621 38156828 39992826 57235242 59989239 79985652 85852863 114470484 119978478 171705726 239956956 343411452 1593047569 3186095138 4779142707 6372190276 9558285414 14337428121 19116570828 28674856242 57349712484