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20343907584 = 2832711138821
BaseRepresentation
bin10010111100100101…
…110110010100000000
31221111210122120202200
4102330211312110000
5313131020020314
613202412313200
71320066234630
oct227445662400
957453576680
1020343907584
11869a672970
123b39172800
131bc2a09a50
14dadc486c0
157e104e709
hex4bc976500

20343907584 has 432 divisors, whose sum is σ = 78764509824. Its totient is φ = 4877107200.

The previous prime is 20343907567. The next prime is 20343907627. The reversal of 20343907584 is 48570934302.

20343907584 is a `hidden beast` number, since 2 + 0 + 34 + 39 + 0 + 7 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2301894 + ... + 2310714.

Almost surely, 220343907584 is an apocalyptic number.

20343907584 is a gapful number since it is divisible by the number (24) 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 20343907584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382254912).

20343907584 is an abundant number, since it is smaller than the sum of its proper divisors (58420602240).

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

20343907584 is a wasteful number, since it uses less digits than its factorization.

20343907584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20343907584 in words is "twenty billion, three hundred forty-three million, nine hundred seven thousand, five hundred eighty-four".