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42352631646 = 23132943647673
BaseRepresentation
bin100111011100011010…
…011101111101011110
311001022121221121101220
4213130122131331132
51143214233203041
631242335514210
73026352300123
oct473432357536
9131277847356
1042352631646
1116a63a58016
12825b988966
133cbc5c48b0
14209ac1a74a
15117d302d66
hex9dc69df5e

42352631646 has 128 divisors (see below), whose sum is σ = 96854123520. Its totient is φ = 12252377088.

The previous prime is 42352631623. The next prime is 42352631707. The reversal of 42352631646 is 64613625324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42352631598 and 42352631607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62930766 + ... + 62931438.

It is an arithmetic number, because the mean of its divisors is an integer number (756672840).

Almost surely, 242352631646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42352631646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48427061760).

42352631646 is an abundant number, since it is smaller than the sum of its proper divisors (54501491874).

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

42352631646 is a wasteful number, since it uses less digits than its factorization.

42352631646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410.

The product of its digits is 622080, while the sum is 42.

The spelling of 42352631646 in words is "forty-two billion, three hundred fifty-two million, six hundred thirty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 13 26 29 39 43 58 78 86 87 129 174 258 377 559 647 673 754 1118 1131 1247 1294 1346 1677 1941 2019 2262 2494 3354 3741 3882 4038 7482 8411 8749 16211 16822 17498 18763 19517 25233 26247 27821 28939 32422 37526 39034 48633 50466 52494 55642 56289 57878 58551 83463 86817 97266 112578 117102 166926 173634 243919 253721 361673 376207 435431 487838 507442 723346 731757 752414 761163 806809 839231 870862 1085019 1128621 1306293 1463514 1522326 1613618 1678462 2170038 2257242 2420427 2517693 2612586 4840854 5035386 5660603 10488517 10910003 11321206 12627499 16981809 18723533 20977034 21820006 25254998 31465551 32730009 33963618 37447066 37882497 56170599 62931102 65460018 75764994 112341198 164157487 243405929 328314974 486811858 492472461 542982457 730217787 984944922 1085964914 1460435574 1628947371 3257894742 7058771941 14117543882 21176315823 42352631646