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57150455652 = 223243533072269
BaseRepresentation
bin110101001110011011…
…101011111101100100
312110111220122221202200
4311032123223331210
51414021004040102
642130552334500
74062145600143
oct651633537544
9173456587680
1057150455652
1122267a40234
12b0ab6a4430
13550a2a4084
142aa225375a
1517474cd51c
hexd4e6ebf64

57150455652 has 144 divisors (see below), whose sum is σ = 151169578560. Its totient is φ = 18188561664.

The previous prime is 57150455647. The next prime is 57150455693. The reversal of 57150455652 is 25655405175.

It is a super-3 number, since 3×571504556523 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57150455598 and 57150455607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25186374 + ... + 25188642.

It is an arithmetic number, because the mean of its divisors is an integer number (1049788740).

Almost surely, 257150455652 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 57150455652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75584789280).

57150455652 is an abundant number, since it is smaller than the sum of its proper divisors (94019122908).

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

57150455652 is a wasteful number, since it uses less digits than its factorization.

57150455652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 57150455652 in words is "fifty-seven billion, one hundred fifty million, four hundred fifty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 53 86 106 129 159 172 212 258 307 318 387 477 516 614 636 774 921 954 1228 1548 1842 1908 2269 2279 2763 3684 4538 4558 5526 6807 6837 9076 9116 11052 13201 13614 13674 16271 20421 20511 26402 27228 27348 32542 39603 40842 41022 48813 52804 65084 79206 81684 82044 97567 97626 118809 120257 146439 158412 195134 195252 237618 240514 292701 292878 360771 390268 475236 481028 585402 585756 696583 699653 721542 878103 1082313 1170804 1393166 1399306 1443084 1756206 2089749 2098959 2164626 2786332 2798612 3512412 4179498 4197918 4329252 5171051 6269247 6296877 8358996 8395836 10342102 12538494 12593754 15513153 20684204 25076988 25187508 29953069 31026306 36918899 46539459 59906138 62052612 73837798 89859207 93078918 110756697 119812276 147675596 179718414 186157836 221513394 269577621 332270091 359436828 443026788 539155242 664540182 1078310484 1329080364 1587512657 3175025314 4762537971 6350050628 9525075942 14287613913 19050151884 28575227826 57150455652