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20187927539568 = 2434891513113727
BaseRepresentation
bin1001001011100010111100…
…01111111110111101110000
32122110221120101021122210000
410211301132033332331300
510121224333422231233
6110534112245310000
74152346443530145
oct445613617767560
978427511248700
1020187927539568
116483719886008
122320680105300
13b3593744a9a9
144db15ac5c3cc
15250203524d13
hex125c5e3fef70

20187927539568 has 400 divisors, whose sum is σ = 59684788500480. Its totient is φ = 6586614144000.

The previous prime is 20187927539561. The next prime is 20187927539569. The reversal of 20187927539568 is 86593572978102.

20187927539568 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 7 + 9 + 2 + 7 + 53 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 20187927539496 and 20187927539505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20187927539561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5416667721 + ... + 5416671447.

Almost surely, 220187927539568 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 20187927539568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29842394250240).

20187927539568 is an abundant number, since it is smaller than the sum of its proper divisors (39496860960912).

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

20187927539568 is a wasteful number, since it uses less digits than its factorization.

20187927539568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 20187927539568 in words is "twenty trillion, one hundred eighty-seven billion, nine hundred twenty-seven million, five hundred thirty-nine thousand, five hundred sixty-eight".