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57872107106560 = 2853710711420203
BaseRepresentation
bin11010010100010011001100…
…11000101111000100000000
321120220112000122111112012001
431022021212120233010000
530041134033404402220
6323030025020513344
715122056522655665
oct1512114630570400
9246815018445161
1057872107106560
111749247181457a
1265a80036ab854
13263a415b4b016
14104104c597a6c
156a55bdc2e80a
hex34a26662f100

57872107106560 has 144 divisors (see below), whose sum is σ = 143698873784256. Its totient is φ = 22312699305984.

The previous prime is 57872107106543. The next prime is 57872107106563. The reversal of 57872107106560 is 6560170127875.

It is not an unprimeable number, because it can be changed into a prime (57872107106563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642582 + ... + 10777621.

It is an arithmetic number, because the mean of its divisors is an integer number (997908845724).

Almost surely, 257872107106560 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 57872107106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71849436892128).

57872107106560 is an abundant number, since it is smaller than the sum of its proper divisors (85826766677696).

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

57872107106560 is a wasteful number, since it uses less digits than its factorization.

57872107106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420368 (or 11420354 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 55.

The spelling of 57872107106560 in words is "fifty-seven trillion, eight hundred seventy-two billion, one hundred seven million, one hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 107 128 148 160 185 214 256 296 320 370 428 535 592 640 740 856 1070 1184 1280 1480 1712 2140 2368 2960 3424 3959 4280 4736 5920 6848 7918 8560 9472 11840 13696 15836 17120 19795 23680 27392 31672 34240 39590 47360 63344 68480 79180 126688 136960 158360 253376 316720 506752 633440 1013504 1266880 2533760 5067520 11420203 22840406 45680812 57101015 91361624 114202030 182723248 228404060 365446496 422547511 456808120 730892992 845095022 913616240 1221961721 1461785984 1690190044 1827232480 2112737555 2443923442 2923571968 3380380088 3654464960 4225475110 4887846884 6109808605 6760760176 7308929920 8450950220 9775693768 12219617210 13521520352 14617859840 16901900440 19551387536 24439234420 27043040704 33803800880 39102775072 45212583677 48878468840 54086081408 67607601760 78205550144 90425167354 97756937680 108172162816 135215203520 156411100288 180850334708 195513875360 226062918385 270430407040 312822200576 361700669416 391027750720 452125836770 540860814080 723401338832 782055501440 904251673540 1446802677664 1564111002880 1808503347080 2893605355328 3617006694160 5787210710656 7234013388320 11574421421312 14468026776640 28936053553280 57872107106560