Search a number
-
+
57124868682 = 23729254318443
BaseRepresentation
bin110101001100111010…
…000101001001001010
312110110010112000001010
4311030322011021022
51413442431244212
642124240104350
74061415241440
oct651472051112
9173403460033
1057124868682
1122254554382
12b0a30050b6
135504bb595b
142a9cab2b90
15174512703c
hexd4ce8524a

57124868682 has 64 divisors (see below), whose sum is σ = 135134023680. Its totient is φ = 15751533504.

The previous prime is 57124868663. The next prime is 57124868743. The reversal of 57124868682 is 28686842175.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3088153 + ... + 3106595.

It is an arithmetic number, because the mean of its divisors is an integer number (2111469120).

Almost surely, 257124868682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57124868682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67567011840).

57124868682 is an abundant number, since it is smaller than the sum of its proper divisors (78009154998).

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

57124868682 is a wasteful number, since it uses less digits than its factorization.

57124868682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21027.

The product of its digits is 10321920, while the sum is 57.

The spelling of 57124868682 in words is "fifty-seven billion, one hundred twenty-four million, eight hundred sixty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 2543 5086 7629 15258 17801 18443 35602 36886 53403 55329 73747 106806 110658 129101 147494 221241 258202 387303 442482 516229 534847 774606 1032458 1069694 1548687 1604541 3097374 3209082 3743929 7487858 11231787 22463574 46900549 93801098 140701647 281403294 328303843 656607686 984911529 1360115921 1969823058 2720231842 4080347763 8160695526 9520811447 19041622894 28562434341 57124868682