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20164018176 = 2153471107
BaseRepresentation
bin10010110001110111…
…101000000000000000
31221001021011020220000
4102301313220000000
5312243442040201
613132504520000
71312453220001
oct226167500000
957037136800
1020164018176
118608076335
123aa8a80000
131b94674303
14d93dbd1a8
157d0368d86
hex4b1de8000

20164018176 has 320 divisors, whose sum is σ = 61661619360. Its totient is φ = 6564741120.

The previous prime is 20164018157. The next prime is 20164018177. The reversal of 20164018176 is 67181046102.

It is a happy number.

20164018176 is a `hidden beast` number, since 2 + 0 + 1 + 640 + 1 + 8 + 1 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20164018176.

It is not an unprimeable number, because it can be changed into a prime (20164018177) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188448715 + ... + 188448821.

Almost surely, 220164018176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20164018176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30830809680).

20164018176 is an abundant number, since it is smaller than the sum of its proper divisors (41497601184).

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

20164018176 is an frugal number, since it uses more digits than its factorization.

20164018176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20164018176 in words is "twenty billion, one hundred sixty-four million, eighteen thousand, one hundred seventy-six".