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85356084516 = 22317701596879
BaseRepresentation
bin100111101111110011…
…1100111110100100100
322011022121112100200120
41033133213213310210
52344302124201031
6103113445041540
76111126514233
oct1173747476444
9264277470616
1085356084516
113322131470a
12146616b62b0
13808399a1b1
1441ba24cb1a
152348811a96
hex13df9e7d24

85356084516 has 48 divisors (see below), whose sum is σ = 211180919040. Its totient is φ = 26740134400.

The previous prime is 85356084509. The next prime is 85356084587. The reversal of 85356084516 is 61548065358.

It is a happy number.

It is a super-2 number, since 2×853560845162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155436 + ... + 441443.

It is an arithmetic number, because the mean of its divisors is an integer number (4399602480).

Almost surely, 285356084516 is an apocalyptic number.

It is an amenable number.

85356084516 is an abundant number, since it is smaller than the sum of its proper divisors (125824834524).

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

85356084516 is a wasteful number, since it uses less digits than its factorization.

85356084516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597604 (or 597602 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 85356084516 in words is "eighty-five billion, three hundred fifty-six million, eighty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 701 1402 2103 2804 4206 8412 11917 23834 35751 47668 71502 143004 596879 1193758 1790637 2387516 3581274 7162548 10146943 20293886 30440829 40587772 60881658 121763316 418412179 836824358 1255236537 1673648716 2510473074 5020946148 7113007043 14226014086 21339021129 28452028172 42678042258 85356084516