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20387566080 = 293357291453
BaseRepresentation
bin10010111111001100…
…011001001000000000
31221121211210122222000
4102333030121020000
5313223204103310
613211012144000
71321136311110
oct227714311000
957554718860
1020387566080
118712282172
123b4b908000
131bcba8488b
14db5971040
157e4cc54c0
hex4bf319200

20387566080 has 640 divisors, whose sum is σ = 85676659200. Its totient is φ = 4496228352.

The previous prime is 20387566057. The next prime is 20387566163. The reversal of 20387566080 is 8066578302.

20387566080 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 7 + 566 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14030634 + ... + 14032086.

It is an arithmetic number, because the mean of its divisors is an integer number (133869780).

Almost surely, 220387566080 is an apocalyptic number.

20387566080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20387566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42838329600).

20387566080 is an abundant number, since it is smaller than the sum of its proper divisors (65289093120).

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

20387566080 is a wasteful number, since it uses less digits than its factorization.

20387566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20387566080 in words is "twenty billion, three hundred eighty-seven million, five hundred sixty-six thousand, eighty".