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20264520528 = 24327193728597
BaseRepresentation
bin10010110111110111…
…000000101101010000
31221022021021022012100
4102313313000231100
5313000204124103
613150455000400
71315113403530
oct226767005520
957267238170
1020264520528
11865988022a
123b16669100
131bac432665
14da34a14c0
157d90bc5a3
hex4b7dc0b50

20264520528 has 240 divisors, whose sum is σ = 70071963520. Its totient is φ = 5336699904.

The previous prime is 20264520499. The next prime is 20264520533. The reversal of 20264520528 is 82502546202.

20264520528 is a `hidden beast` number, since 2 + 0 + 2 + 645 + 2 + 0 + 5 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20264520492 and 20264520501.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 694326 + ... + 722922.

Almost surely, 220264520528 is an apocalyptic number.

20264520528 is a gapful number since it is divisible by the number (28) 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 20264520528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35035981760).

20264520528 is an abundant number, since it is smaller than the sum of its proper divisors (49807442992).

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

20264520528 is a wasteful number, since it uses less digits than its factorization.

20264520528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28674 (or 28665 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 20264520528 in words is "twenty billion, two hundred sixty-four million, five hundred twenty thousand, five hundred twenty-eight".