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202145616564 = 223499187118043
BaseRepresentation
bin1011110001000011010…
…0010101001010110100
3201022202212122022002120
42330100310111022310
511302443234212224
6232510414035540
720414233250613
oct2742064251264
9638685568076
10202145616564
1178802a26731
12332161a8bb0
13160a69bc188
149ad904387a
1553d19ec779
hex2f10d152b4

202145616564 has 48 divisors (see below), whose sum is σ = 472897152000. Its totient is φ = 67207171680.

The previous prime is 202145616559. The next prime is 202145616581. The reversal of 202145616564 is 465616541202.

It is a super-2 number, since 2×2021456165642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11194527 + ... + 11212569.

It is an arithmetic number, because the mean of its divisors is an integer number (9852024000).

Almost surely, 2202145616564 is an apocalyptic number.

It is an amenable number.

202145616564 is an abundant number, since it is smaller than the sum of its proper divisors (270751535436).

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

202145616564 is a wasteful number, since it uses less digits than its factorization.

202145616564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20420 (or 20418 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 202145616564 in words is "two hundred two billion, one hundred forty-five million, six hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 499 998 1497 1871 1996 2994 3742 5613 5988 7484 11226 18043 22452 36086 54129 72172 108258 216516 933629 1867258 2800887 3734516 5601774 9003457 11203548 18006914 27010371 33758453 36013828 54020742 67516906 101275359 108041484 135033812 202550718 405101436 16845468047 33690936094 50536404141 67381872188 101072808282 202145616564