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42325360524 = 22325361935837
BaseRepresentation
bin100111011010110010…
…011011111110001100
311001020201122002110100
4213122302123332030
51143140243014044
631235523211100
73025601425356
oct473262337614
9131221562410
1042325360524
1116a4a6208a7
128252816a90
133cb6a66a35
14209735c0d6
15117ac17869
hex9dac9bf8c

42325360524 has 72 divisors (see below), whose sum is σ = 109186917840. Its totient is φ = 13819508352.

The previous prime is 42325360523. The next prime is 42325360543. The reversal of 42325360524 is 42506352324.

42325360524 is a `hidden beast` number, since 4 + 2 + 3 + 25 + 3 + 605 + 24 = 666.

It is a super-2 number, since 2×423253605242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42325360523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163134 + ... + 1198970.

It is an arithmetic number, because the mean of its divisors is an integer number (1516484970).

Almost surely, 242325360524 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 42325360524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54593458920).

42325360524 is an abundant number, since it is smaller than the sum of its proper divisors (66861557316).

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

42325360524 is a wasteful number, since it uses less digits than its factorization.

42325360524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36519 (or 36514 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 42325360524 in words is "forty-two billion, three hundred twenty-five million, three hundred sixty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 619 636 954 1238 1857 1908 2476 3714 5571 7428 11142 22284 32807 35837 65614 71674 98421 107511 131228 143348 196842 215022 295263 322533 393684 430044 590526 645066 1181052 1290132 1899361 3798722 5698083 7597444 11396166 17094249 22183103 22792332 34188498 44366206 66549309 68376996 88732412 133098618 199647927 266197236 399295854 798591708 1175704459 2351408918 3527113377 4702817836 7054226754 10581340131 14108453508 21162680262 42325360524