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42536333466 = 23311216194021
BaseRepresentation
bin100111100111010111…
…001111000010011010
311001210102121121221000
4213213113033002122
51144103300132331
631312501125430
73034042604004
oct474727170232
9131712547830
1042536333466
1117048718a00
1282b13b9876
13401b6936b3
1420b7399374
15118e4dd0e6
hex9e75cf09a

42536333466 has 96 divisors (see below), whose sum is σ = 103989614400. Its totient is φ = 12878632800.

The previous prime is 42536333461. The next prime is 42536333503. The reversal of 42536333466 is 66433363524.

42536333466 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 633 + 3 + 4 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (42536333461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10576536 + ... + 10580556.

It is an arithmetic number, because the mean of its divisors is an integer number (1083225150).

Almost surely, 242536333466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42536333466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51994807200).

42536333466 is an abundant number, since it is smaller than the sum of its proper divisors (61453280934).

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

42536333466 is a wasteful number, since it uses less digits than its factorization.

42536333466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5656 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 45.

The spelling of 42536333466 in words is "forty-two billion, five hundred thirty-six million, three hundred thirty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1619 2178 3238 3267 4021 4857 6534 8042 9714 12063 14571 17809 24126 29142 35618 36189 43713 44231 53427 72378 87426 88462 106854 108567 132693 160281 195899 217134 265386 320562 391798 398079 480843 486541 587697 796158 961686 973082 1175394 1194237 1459623 1763091 2388474 2919246 3526182 4378869 5289273 6509999 8757738 10578546 13019998 13136607 19529997 26273214 39059994 58589991 71609989 117179982 143219978 175769973 214829967 351539946 429659934 644489901 787709879 1288979802 1575419758 1933469703 2363129637 3866939406 4726259274 7089388911 14178777822 21268166733 42536333466