Search a number
-
+
51370007242456 = 23722231033568877
BaseRepresentation
bin10111010111000100000110…
…00010001010011011011000
320201212220222010111010000201
423223202003002022123120
523213121233323224311
6301131015555111544
713551234445015300
oct1353420302123330
9221786863433021
1051370007242456
1115405996969751
125917a275a25b4
13228822b5cc426
14c98470732600
155e13b9b269c1
hex2eb88308a6d8

51370007242456 has 96 divisors (see below), whose sum is σ = 112655866055040. Its totient is φ = 21895736873472.

The previous prime is 51370007242259. The next prime is 51370007242537. The reversal of 51370007242456 is 65424270007315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90016290 + ... + 90585166.

It is an arithmetic number, because the mean of its divisors is an integer number (1173498604740).

Almost surely, 251370007242456 is an apocalyptic number.

51370007242456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51370007242456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327933027520).

51370007242456 is an abundant number, since it is smaller than the sum of its proper divisors (61285858812584).

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

51370007242456 is a wasteful number, since it uses less digits than its factorization.

51370007242456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570153 (or 570142 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 51370007242456 in words is "fifty-one trillion, three hundred seventy billion, seven million, two hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 223 392 446 892 1033 1561 1784 2066 3122 4132 6244 7231 8264 10927 12488 14462 21854 28924 43708 50617 57848 87416 101234 202468 230359 404936 460718 568877 921436 1137754 1612513 1842872 2275508 3225026 3982139 4551016 6450052 7964278 11287591 12900104 15928556 22575182 27874973 31857112 45150364 55749946 90300728 111499892 126859571 222999784 253719142 507438284 587649941 888016997 1014876568 1175299882 1776033994 2350599764 3552067988 4113549587 4701199528 6216118979 7104135976 8227099174 12432237958 16454198348 24864475916 28794847109 32908396696 49728951832 57589694218 115179388436 131045936843 230358776872 262091873686 524183747372 917321557901 1048367494744 1834643115802 3669286231604 6421250905307 7338572463208 12842501810614 25685003621228 51370007242456