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20620385604 = 2232721322632
BaseRepresentation
bin10011001101000100…
…100001110101000100
31222020001220010022100
4103031010201311010
5314212304314404
613250050232100
71326664246200
oct231504416504
958201803270
1020620385604
1188217409a5
123bb5885630
131c38090300
14dd8857b00
1580a463d39
hex4cd121d44

20620385604 has 243 divisors, whose sum is σ = 65907261693. Its totient is φ = 5417665344.

The previous prime is 20620385573. The next prime is 20620385629. The reversal of 20620385604 is 40658302602.

The square root of 20620385604 is 143598.

It is a perfect power (a square), and thus also a powerful number.

20620385604 is a `hidden beast` number, since 2 + 0 + 62 + 0 + 38 + 560 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3050352900 + 17570032704 = 55230^2 + 132552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78404377 + ... + 78404639.

Almost surely, 220620385604 is an apocalyptic number.

20620385604 is the 143598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20620385604

20620385604 is an abundant number, since it is smaller than the sum of its proper divisors (45286876089).

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

20620385604 is a wasteful number, since it uses less digits than its factorization.

20620385604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 20620385604 by its sum of digits (36), we get a square (742333881744 = 8615882).

20620385604 divided by its sum of digits (36) gives a square (572788489 = 239332).

The spelling of 20620385604 in words is "twenty billion, six hundred twenty million, three hundred eighty-five thousand, six hundred four".