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20008918800 = 24325213427541
BaseRepresentation
bin10010101000100111…
…111101111100010000
31220122110022101112200
4102220213331330100
5311434240400200
613105244323200
71305561001143
oct225047757420
956573271480
1020008918800
118538570932
123a64b43500
131b6b4ab330
14d7b56805a
157c192d800
hex4a89fdf10

20008918800 has 180 divisors, whose sum is σ = 74777950884. Its totient is φ = 4925260800.

The previous prime is 20008918771. The next prime is 20008918801. The reversal of 20008918800 is 881980002.

It can be written as a sum of positive squares in 6 ways, for example, as 56791296 + 19952127504 = 7536^2 + 141252^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (20008918801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166971 + ... + 260570.

Almost surely, 220008918800 is an apocalyptic number.

20008918800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20008918800 is an abundant number, since it is smaller than the sum of its proper divisors (54769032084).

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

20008918800 is a wasteful number, since it uses less digits than its factorization.

20008918800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427578 (or 427564 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 20008918800 in words is "twenty billion, eight million, nine hundred eighteen thousand, eight hundred".