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20164218372 = 2232560117177
BaseRepresentation
bin10010110001111000…
…011000111000000100
31221001021112102111200
4102301320120320010
5312244014441442
613132513102500
71312455012444
oct226170307004
957037472450
1020164218372
1186081a2791
123aa8b57a30
131b9471447c
14d94032124
157d03a834c
hex4b1e18e04

20164218372 has 18 divisors (see below), whose sum is σ = 50970663198. Its totient is φ = 6721406112.

The previous prime is 20164218353. The next prime is 20164218391. The reversal of 20164218372 is 27381246102.

It is a happy number.

20164218372 is a `hidden beast` number, since 2 + 0 + 1 + 642 + 1 + 8 + 3 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20164218353) and next prime (20164218391).

It can be written as a sum of positive squares in only one way, i.e., 15942597696 + 4221620676 = 126264^2 + 64974^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 560117177 = 20164218372 / (2 + 0 + 1 + 6 + 4 + 2 + 1 + 8 + 3 + 7 + 2).

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, 280058553 + ... + 280058624.

It is an arithmetic number, because the mean of its divisors is an integer number (2831703511).

Almost surely, 220164218372 is an apocalyptic number.

It is an amenable number.

20164218372 is an abundant number, since it is smaller than the sum of its proper divisors (30806444826).

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

20164218372 is a wasteful number, since it uses less digits than its factorization.

20164218372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560117187 (or 560117182 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20164218372 in words is "twenty billion, one hundred sixty-four million, two hundred eighteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 560117177 1120234354 1680351531 2240468708 3360703062 5041054593 6721406124 10082109186 20164218372