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20199638952 = 23331783191347
BaseRepresentation
bin10010110011111111…
…100000011110101000
31221010202011222102000
4102303333200132220
5312332101421302
613140220211000
71313365045443
oct226377403650
957122158360
1020199638952
118626195799
123ab8999a60
131b9bb667ac
14d98a1265a
157d355331c
hex4b3fe07a8

20199638952 has 256 divisors, whose sum is σ = 60615475200. Its totient is φ = 6210063360.

The previous prime is 20199638911. The next prime is 20199638957. The reversal of 20199638952 is 25983699102.

It is a happy number.

20199638952 is a `hidden beast` number, since 20 + 199 + 6 + 389 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20199638957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58212043 + ... + 58212389.

It is an arithmetic number, because the mean of its divisors is an integer number (236779200).

Almost surely, 220199638952 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 20199638952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30307737600).

20199638952 is an abundant number, since it is smaller than the sum of its proper divisors (40415836248).

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

20199638952 is a wasteful number, since it uses less digits than its factorization.

20199638952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 20199638952 in words is "twenty billion, one hundred ninety-nine million, six hundred thirty-eight thousand, nine hundred fifty-two".