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20163431808 = 27321317292731
BaseRepresentation
bin10010110001110101…
…011000110110000000
31221001020001110112200
4102301311120312000
5312243314304213
613132444153200
71312445225322
oct226165306600
957036043480
1020163431808
118607805833
123aa8838800
131b944ca450
14d93ca9612
157d02a0273
hex4b1d58d80

20163431808 has 384 divisors, whose sum is σ = 68467744800. Its totient is φ = 5635768320.

The previous prime is 20163431759. The next prime is 20163431809. The reversal of 20163431808 is 80813436102.

20163431808 is a `hidden beast` number, since 2 + 0 + 1 + 634 + 3 + 18 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×201634318082 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20163431809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7381803 + ... + 7384533.

Almost surely, 220163431808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20163431808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34233872400).

20163431808 is an abundant number, since it is smaller than the sum of its proper divisors (48304312992).

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

20163431808 is a wasteful number, since it uses less digits than its factorization.

20163431808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20163431808 in words is "twenty billion, one hundred sixty-three million, four hundred thirty-one thousand, eight hundred eight".