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42561532332 = 223211149721333
BaseRepresentation
bin100111101000110111…
…010111000110101100
311001212012000212021100
4213220313113012230
51144131223013312
631315201203100
73034500025044
oct475067270654
9131765025240
1042561532332
111706096a210
1282b9930490
134023977277
1420ba878724
1511918195dc
hex9e8dd71ac

42561532332 has 72 divisors (see below), whose sum is σ = 118154509200. Its totient is φ = 12810856320.

The previous prime is 42561532313. The next prime is 42561532337. The reversal of 42561532332 is 23323516524.

42561532332 is a `hidden beast` number, since 4 + 2 + 5 + 615 + 3 + 2 + 3 + 32 = 666.

It is a super-2 number, since 2×425615323322 (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 (42561532337) 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, 301663 + ... + 419670.

It is an arithmetic number, because the mean of its divisors is an integer number (1641034850).

Almost surely, 242561532332 is an apocalyptic number.

It is an amenable number.

42561532332 is an abundant number, since it is smaller than the sum of its proper divisors (75592976868).

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

42561532332 is a wasteful number, since it uses less digits than its factorization.

42561532332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721503 (or 721498 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 42561532332 in words is "forty-two billion, five hundred sixty-one million, five hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 149 198 298 396 447 596 894 1341 1639 1788 2682 3278 4917 5364 6556 9834 14751 19668 29502 59004 721333 1442666 2163999 2885332 4327998 6491997 7934663 8655996 12983994 15869326 23803989 25967988 31738652 47607978 71411967 95215956 107478617 142823934 214957234 285647868 322435851 429914468 644871702 967307553 1182264787 1289743404 1934615106 2364529574 3546794361 3869230212 4729059148 7093588722 10640383083 14187177444 21280766166 42561532332