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213415613964 = 223273159463033
BaseRepresentation
bin1100011011000010001…
…1111101011000001100
3202101212022010111010200
43012300203331120030
511444033344121324
6242013005133500
721263431534110
oct3066043753014
9671768114120
10213415613964
1182566606573
123544055a290
131718183b3a7
14a487b17740
155841120ec9
hex31b08fd60c

213415613964 has 144 divisors (see below), whose sum is σ = 647210403840. Its totient is φ = 58008648960.

The previous prime is 213415613869. The next prime is 213415613969. The reversal of 213415613964 is 469316514312.

213415613964 is a `hidden beast` number, since 2 + 13 + 4 + 15 + 613 + 9 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (213415613969) 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, 229392 + ... + 692424.

Almost surely, 2213415613964 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 213415613964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323605201920).

213415613964 is an abundant number, since it is smaller than the sum of its proper divisors (433794789876).

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

213415613964 is a wasteful number, since it uses less digits than its factorization.

213415613964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463140 (or 463135 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 213415613964 in words is "two hundred thirteen billion, four hundred fifteen million, six hundred thirteen thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 59 62 63 84 93 118 124 126 177 186 217 236 252 279 354 372 413 434 531 558 651 708 826 868 1062 1116 1239 1302 1652 1829 1953 2124 2478 2604 3658 3717 3906 4956 5487 7316 7434 7812 10974 12803 14868 16461 21948 25606 32922 38409 51212 65844 76818 115227 153636 230454 460908 463033 926066 1389099 1852132 2778198 3241231 4167297 5556396 6482462 8334594 9723693 12964924 14354023 16669188 19447386 27318947 28708046 29171079 38894772 43062069 54637894 57416092 58342158 81956841 86124138 100478161 109275788 116684316 129186207 163913682 172248276 191232629 200956322 245870523 258372414 301434483 327827364 382465258 401912644 491741046 516744828 573697887 602868966 764930516 846887357 904303449 983482092 1147395774 1205737932 1693774714 1721093661 1808606898 2294791548 2540662071 3387549428 3442187322 3617213796 5081324142 5928211499 6884374644 7621986213 10162648284 11856422998 15243972426 17784634497 23712845996 30487944852 35569268994 53353903491 71138537988 106707806982 213415613964