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20263248320 = 265723753659
BaseRepresentation
bin10010110111110010…
…001010000111000000
31221022011212200001112
4102313302022013000
5312444342421240
613150411422452
71315066524500
oct226762120700
957264780045
1020263248320
118659091417
123b16154a28
131bac0a8583
14da324da00
157d8e1a665
hex4b7c8a1c0

20263248320 has 336 divisors, whose sum is σ = 58823534880. Its totient is φ = 6622027776.

The previous prime is 20263248293. The next prime is 20263248347. The reversal of 20263248320 is 2384236202.

It is an interprime number because it is at equal distance from previous prime (20263248293) and next prime (20263248347).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30748151 + ... + 30748809.

Almost surely, 220263248320 is an apocalyptic number.

20263248320 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 20263248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29411767440).

20263248320 is an abundant number, since it is smaller than the sum of its proper divisors (38560286560).

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

20263248320 is a wasteful number, since it uses less digits than its factorization.

20263248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 20263248320 in words is "twenty billion, two hundred sixty-three million, two hundred forty-eight thousand, three hundred twenty".