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42607922916 = 223136713073119
BaseRepresentation
bin100111101011101000…
…010100111011100100
311001222102022202012010
4213223220110323210
51144230112013131
631323535354220
73035602240416
oct475350247344
9131872282163
1042607922916
1117085075139
128311382970
13403046a810
1420c2ab29b6
15119592eb46
hex9eba14ee4

42607922916 has 96 divisors (see below), whose sum is σ = 108782069760. Its totient is φ = 12900438144.

The previous prime is 42607922893. The next prime is 42607922933. The reversal of 42607922916 is 61922970624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13659205 + ... + 13662323.

It is an arithmetic number, because the mean of its divisors is an integer number (1133146560).

Almost surely, 242607922916 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 42607922916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54391034880).

42607922916 is an abundant number, since it is smaller than the sum of its proper divisors (66174146844).

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

42607922916 is a wasteful number, since it uses less digits than its factorization.

42607922916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 42607922916 in words is "forty-two billion, six hundred seven million, nine hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1307 1742 2613 2614 3119 3484 3921 5226 5228 6238 7842 9357 10452 12476 15684 16991 18714 33982 37428 40547 50973 67964 81094 87569 101946 121641 162188 175138 203892 208973 243282 262707 350276 417946 486564 525414 626919 835892 1050828 1138397 1253838 2276794 2507676 2716649 3415191 4076533 4553588 5433298 6830382 8149947 8153066 10866596 12229599 13660764 16299894 16306132 24459198 32599788 48918396 52994929 105989858 158984787 211979716 273127711 317969574 546255422 635939148 819383133 1092510844 1638766266 3277532532 3550660243 7101320486 10651980729 14202640972 21303961458 42607922916