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20026253520 = 24325713537379
BaseRepresentation
bin10010101001101010…
…000110000011010000
31220200122221002022100
4102221222012003100
5312003210103040
613111104040400
71306161226530
oct225152060320
956618832270
1020026253520
118547330749
123a6a903100
131b71c6a570
14d7d99b4c0
157c3204b30
hex4a9a860d0

20026253520 has 960 divisors, whose sum is σ = 86574458880. Its totient is φ = 4037050368.

The previous prime is 20026253477. The next prime is 20026253537. The reversal of 20026253520 is 2535262002.

20026253520 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 625 + 35 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253496841 + ... + 253496919.

It is an arithmetic number, because the mean of its divisors is an integer number (90181728).

Almost surely, 220026253520 is an apocalyptic number.

20026253520 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 20026253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43287229440).

20026253520 is an abundant number, since it is smaller than the sum of its proper divisors (66548205360).

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

20026253520 is a wasteful number, since it uses less digits than its factorization.

20026253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 20026253520 in words is "twenty billion, twenty-six million, two hundred fifty-three thousand, five hundred twenty".