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57353870412 = 223231223317727
BaseRepresentation
bin110101011010100011…
…101001110001001100
312111001002102111100200
4311122203221301030
51414430042323122
642203100253500
74100165566116
oct653243516114
9174032374320
1057353870412
1122361845803
12b147841290
135540485737
142ac12843b6
15175a2ae5ac
hexd5a8e9c4c

57353870412 has 144 divisors (see below), whose sum is σ = 151007281152. Its totient is φ = 18334926720.

The previous prime is 57353870369. The next prime is 57353870417. The reversal of 57353870412 is 21407835375.

57353870412 is a `hidden beast` number, since 5 + 7 + 3 + 538 + 70 + 41 + 2 = 666.

57353870412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57353870417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78890793 + ... + 78891519.

Almost surely, 257353870412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57353870412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75503640576).

57353870412 is an abundant number, since it is smaller than the sum of its proper divisors (93653410740).

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

57353870412 is a wasteful number, since it uses less digits than its factorization.

57353870412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 57353870412 in words is "fifty-seven billion, three hundred fifty-three million, eight hundred seventy thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 223 279 317 372 446 558 634 669 727 892 951 1116 1268 1338 1454 1902 2007 2181 2676 2853 2908 3804 4014 4362 5706 6543 6913 8028 8724 9827 11412 13086 13826 19654 20739 22537 26172 27652 29481 39308 41478 45074 58962 62217 67611 70691 82956 88443 90148 117924 124434 135222 141382 162121 176886 202833 212073 230459 248868 270444 282764 324242 353772 405666 424146 460918 486363 636219 648484 691377 811332 848292 921836 972726 1272438 1382754 1459089 1945452 2074131 2191421 2544876 2765508 2918178 4148262 4382842 5025751 5836356 6574263 7144229 8296524 8765684 10051502 13148526 14288458 15077253 19722789 20103004 21432687 26297052 28576916 30154506 39445578 42865374 45231759 51392357 60309012 64298061 78891156 85730748 90463518 102784714 128596122 154177071 180927036 205569428 257192244 308354142 462531213 616708284 925062426 1593163067 1850124852 3186326134 4779489201 6372652268 9558978402 14338467603 19117956804 28676935206 57353870412