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18293416164 = 223518820387
BaseRepresentation
bin10001000010010111…
…110110000011100100
31202012220021211100000
4101002113312003210
5244431103304124
612223123221300
71215220320552
oct210227660344
952186254300
1018293416164
11783817a361
123666517830
131956c6470a
14c577a8bd2
157210166c9
hex4425f60e4

18293416164 has 36 divisors (see below), whose sum is σ = 47954348624. Its totient is φ = 6097805064.

The previous prime is 18293416139. The next prime is 18293416177. The reversal of 18293416164 is 46161439281.

18293416164 is a `hidden beast` number, since 1 + 8 + 29 + 3 + 4 + 1 + 616 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 9409222 + ... + 9411165.

Almost surely, 218293416164 is an apocalyptic number.

It is an amenable number.

18293416164 is an abundant number, since it is smaller than the sum of its proper divisors (29660932460).

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

18293416164 is a wasteful number, since it uses less digits than its factorization.

18293416164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18820406 (or 18820392 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 18293416164 in words is "eighteen billion, two hundred ninety-three million, four hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 18820387 37640774 56461161 75281548 112922322 169383483 225844644 338766966 508150449 677533932 1016300898 1524451347 2032601796 3048902694 4573354041 6097805388 9146708082 18293416164