Search a number
-
+
52705642434 = 23293141238321
BaseRepresentation
bin110001000101100000…
…000100011111000010
312001001010222001021220
4301011200010133002
51330420121024214
640113532455510
73544044366054
oct610540043702
9161033861256
1052705642434
1120396a63285
12a26b01a596
134c7c480793
14279dbd18d4
1515871919a9
hexc458047c2

52705642434 has 64 divisors (see below), whose sum is σ = 115309716480. Its totient is φ = 16015104000.

The previous prime is 52705642417. The next prime is 52705642459. The reversal of 52705642434 is 43424650725.

It is a super-2 number, since 2×527056424342 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101994 + ... + 340314.

It is an arithmetic number, because the mean of its divisors is an integer number (1801714320).

Almost surely, 252705642434 is an apocalyptic number.

52705642434 is an abundant number, since it is smaller than the sum of its proper divisors (62604074046).

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

52705642434 is a wasteful number, since it uses less digits than its factorization.

52705642434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238427.

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 52705642434 in words is "fifty-two billion, seven hundred five million, six hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 29 31 41 58 62 82 87 93 123 174 186 246 899 1189 1271 1798 2378 2542 2697 3567 3813 5394 7134 7626 36859 73718 110577 221154 238321 476642 714963 1429926 6911309 7387951 9771161 13822618 14775902 19542322 20733927 22163853 29313483 41467854 44327706 58626966 214250579 283363669 302905991 428501158 566727338 605811982 642751737 850091007 908717973 1285503474 1700182014 1817435946 8784273739 17568547478 26352821217 52705642434