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180972393012 = 22325027010917
BaseRepresentation
bin1010100010001011001…
…0111001001000110100
3122022010021111002200200
42220202302321020310
510431112413034022
6215045414240500
716034443650105
oct2504262711064
9568107432620
10180972393012
116a82821a474
122b0a7356130
13140b1236a28
148a8addc3ac
154a92c84bac
hex2a22cb9234

180972393012 has 18 divisors (see below), whose sum is σ = 457457993538. Its totient is φ = 60324130992.

The previous prime is 180972392983. The next prime is 180972393023. The reversal of 180972393012 is 210393279081.

180972393012 is a `hidden beast` number, since 180 + 9 + 72 + 393 + 0 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152971725456 + 28000667556 = 391116^2 + 167334^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×1809723930123 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2513505423 + ... + 2513505494.

Almost surely, 2180972393012 is an apocalyptic number.

180972393012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180972393012 is an abundant number, since it is smaller than the sum of its proper divisors (276485600526).

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

180972393012 is a wasteful number, since it uses less digits than its factorization.

180972393012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027010927 (or 5027010922 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 180972393012 in words is "one hundred eighty billion, nine hundred seventy-two million, three hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5027010917 10054021834 15081032751 20108043668 30162065502 45243098253 60324131004 90486196506 180972393012