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57392618040 = 23345130713553
BaseRepresentation
bin110101011100110111…
…011101101000111000
312111010210100002010000
4311130313131220320
51420020002234130
642211002553000
74101146130012
oct653467355070
9174123302100
1057392618040
112238170043a
12b158808760
135548501224
142ac648d1b2
15175d8b5260
hexd5cddda38

57392618040 has 160 divisors (see below), whose sum is σ = 193064802480. Its totient is φ = 15291859968.

The previous prime is 57392618039. The next prime is 57392618077. The reversal of 57392618040 is 4081629375.

57392618040 is a `hidden beast` number, since 573 + 9 + 26 + 18 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4227904 + ... + 4241456.

It is a 1-persistent number, because it is pandigital, but 2⋅57392618040 = 114785236080 is not.

Almost surely, 257392618040 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 57392618040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96532401240).

57392618040 is an abundant number, since it is smaller than the sum of its proper divisors (135672184440).

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

57392618040 is a wasteful number, since it uses less digits than its factorization.

57392618040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14870 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57392618040 in words is "fifty-seven billion, three hundred ninety-two million, six hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1307 1620 2614 3240 3921 5228 6535 7842 10456 11763 13070 13553 15684 19605 23526 26140 27106 31368 35289 39210 40659 47052 52280 54212 58815 67765 70578 78420 81318 94104 105867 108424 117630 121977 135530 141156 156840 162636 176445 203295 211734 235260 243954 271060 282312 325272 352890 365931 406590 423468 470520 487908 529335 542120 609885 705780 731862 813180 846936 975816 1058670 1097793 1219770 1411560 1463724 1626360 1829655 2117340 2195586 2439540 2927448 3659310 4234680 4391172 4879080 5488965 7318620 8782344 10977930 14637240 17713771 21955860 35427542 43911720 53141313 70855084 88568855 106282626 141710168 159423939 177137710 212565252 265706565 318847878 354275420 425130504 478271817 531413130 637695756 708550840 797119695 956543634 1062826260 1275391512 1434815451 1594239390 1913087268 2125652520 2391359085 2869630902 3188478780 3826174536 4782718170 5739261804 6376957560 7174077255 9565436340 11478523608 14348154510 19130872680 28696309020 57392618040