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20641975200 = 2535527211197
BaseRepresentation
bin10011001110010110…
…111000101110100000
31222021120111222200000
4103032112320232200
5314233321201300
613252141100000
71330345615500
oct231626705640
958246458600
1020641975200
118832947540
124000b57600
131c3c6ac112
14ddb677a00
1580c2cac00
hex4ce5b8ba0

20641975200 has 1296 divisors, whose sum is σ = 96277525344. Its totient is φ = 4267468800.

The previous prime is 20641975199. The next prime is 20641975213. The reversal of 20641975200 is 257914602.

20641975200 is a `hidden beast` number, since 2 + 0 + 6 + 41 + 97 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×206419752002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 104781502 + ... + 104781698.

It is an arithmetic number, because the mean of its divisors is an integer number (74288214).

Almost surely, 220641975200 is an apocalyptic number.

20641975200 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 20641975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48138762672).

20641975200 is an abundant number, since it is smaller than the sum of its proper divisors (75635550144).

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

20641975200 is a wasteful number, since it uses less digits than its factorization.

20641975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20641975200 in words is "twenty billion, six hundred forty-one million, nine hundred seventy-five thousand, two hundred".