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84668468688 = 24321551137907
BaseRepresentation
bin100111011011010100…
…0100100110111010000
322002112200122212002200
41032312220210313100
52341400111444223
6102521323043200
76055110052326
oct1166650446720
9262480585080
1084668468688
11329a9163771
12144ab370500
137ca43a591b
144152bb9d16
152308288a43
hex13b6a24dd0

84668468688 has 60 divisors (see below), whose sum is σ = 236975645088. Its totient is φ = 28220258880.

The previous prime is 84668468671. The next prime is 84668468693. The reversal of 84668468688 is 88686486648.

It is a happy number.

84668468688 is a `hidden beast` number, since 8 + 46 + 68 + 468 + 68 + 8 = 666.

It is a super-4 number, since 4×846684686884 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214631 + ... + 2252537.

Almost surely, 284668468688 is an apocalyptic number.

It is an amenable number.

84668468688 is an abundant number, since it is smaller than the sum of its proper divisors (152307176400).

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

84668468688 is a wasteful number, since it uses less digits than its factorization.

84668468688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53432 (or 53423 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 72.

The spelling of 84668468688 in words is "eighty-four billion, six hundred sixty-eight million, four hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15511 31022 37907 46533 62044 75814 93066 113721 124088 139599 151628 186132 227442 248176 279198 303256 341163 372264 454884 558396 606512 682326 744528 909768 1116792 1364652 1819536 2233584 2729304 5458608 587975477 1175950954 1763926431 2351901908 3527852862 4703803816 5291779293 7055705724 9407607632 10583558586 14111411448 21167117172 28222822896 42334234344 84668468688