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20120792640 = 2635134139323
BaseRepresentation
bin10010101111010010…
…101110111001000000
31220221020211011121020
4102233102232321000
5312201410331030
613124322225440
71311416626014
oct225722567100
956836734536
1020120792640
118595732353
123a964b5280
131b8871b580
14d8c36a544
157cb67b510
hex4af4aee40

20120792640 has 224 divisors, whose sum is σ = 70477416576. Its totient is φ = 4831887360.

The previous prime is 20120792491. The next prime is 20120792683. The reversal of 20120792640 is 4629702102.

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 31 ways as a sum of consecutive naturals, for example, 492019 + ... + 531341.

It is an arithmetic number, because the mean of its divisors is an integer number (314631324).

Almost surely, 220120792640 is an apocalyptic number.

20120792640 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 20120792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35238708288).

20120792640 is an abundant number, since it is smaller than the sum of its proper divisors (50356623936).

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

20120792640 is a wasteful number, since it uses less digits than its factorization.

20120792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39397 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 20120792640 in words is "twenty billion, one hundred twenty million, seven hundred ninety-two thousand, six hundred forty".