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20018244672 = 2632238391801
BaseRepresentation
bin10010101001001011…
…100010110001000000
31220200002212012020100
4102221023202301000
5311444132312142
613110220242400
71306033162236
oct225113426100
956602765210
1020018244672
118542860568
123a680a0400
131b703c50ba
14d7c8b4956
157c2671b4c
hex4a92e2c40

20018244672 has 168 divisors, whose sum is σ = 59978056320. Its totient is φ = 6371481600.

The previous prime is 20018244619. The next prime is 20018244677. The reversal of 20018244672 is 27644281002.

20018244672 is a `hidden beast` number, since 200 + 1 + 8 + 2 + 446 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20018244677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11114172 + ... + 11115972.

It is an arithmetic number, because the mean of its divisors is an integer number (357012240).

Almost surely, 220018244672 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 20018244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29989028160).

20018244672 is an abundant number, since it is smaller than the sum of its proper divisors (39959811648).

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

20018244672 is a wasteful number, since it uses less digits than its factorization.

20018244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20018244672 in words is "twenty billion, eighteen million, two hundred forty-four thousand, six hundred seventy-two".