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20232394560 = 26325747131163
BaseRepresentation
bin10010110101111100…
…011101011101000000
31221020000211010122200
4102311330131131000
5312413443111220
613143350233200
71314243342030
oct226574353500
957200733580
1020232394560
118642728544
123b07955800
131ba5894b01
14d9d0db8c0
157d6373890
hex4b5f1d740

20232394560 has 672 divisors, whose sum is σ = 82346913792. Its totient is φ = 4464046080.

The previous prime is 20232394537. The next prime is 20232394571. The reversal of 20232394560 is 6549323202.

It is a happy number.

20232394560 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 2 + 3 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124125039 + ... + 124125201.

Almost surely, 220232394560 is an apocalyptic number.

20232394560 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 20232394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41173456896).

20232394560 is an abundant number, since it is smaller than the sum of its proper divisors (62114519232).

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

20232394560 is a wasteful number, since it uses less digits than its factorization.

20232394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20232394560 in words is "twenty billion, two hundred thirty-two million, three hundred ninety-four thousand, five hundred sixty".