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42156660656 = 24111715319203
BaseRepresentation
bin100111010000101110…
…111001011110110000
311000210222012020202002
4213100232321132300
51142314101120111
631211055313132
73021452463125
oct472056713660
9130728166662
1042156660656
1116973377120
12820621b7a8
133c8ab1b426
14207cba674c
15116aee263b
hex9d0bb97b0

42156660656 has 80 divisors (see below), whose sum is σ = 94417135488. Its totient is φ = 18021196800.

The previous prime is 42156660641. The next prime is 42156660671. The reversal of 42156660656 is 65606665124.

It is an interprime number because it is at equal distance from previous prime (42156660641) and next prime (42156660671).

It is a self number, because there is not a number n which added to its sum of digits gives 42156660656.

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 15 ways as a sum of consecutive naturals, for example, 4576151 + ... + 4585353.

Almost surely, 242156660656 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 42156660656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47208567744).

42156660656 is an abundant number, since it is smaller than the sum of its proper divisors (52260474832).

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

42156660656 is a wasteful number, since it uses less digits than its factorization.

42156660656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 42156660656 in words is "forty-two billion, one hundred fifty-six million, six hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 1531 2992 3062 6124 9203 12248 16841 18406 24496 26027 33682 36812 52054 67364 73624 101233 104108 134728 147248 156451 202466 208216 269456 286297 312902 404932 416432 572594 625804 809864 1145188 1251608 1619728 1720961 2290376 2503216 3441922 4580752 6883844 13767688 14089793 27535376 28179586 56359172 112718344 154987723 225436688 239526481 309975446 479052962 619950892 958105924 1239901784 1916211848 2479803568 2634791291 3832423696 5269582582 10539165164 21078330328 42156660656