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20260207296 = 26347599463
BaseRepresentation
bin10010110111100110…
…100011101011000000
31221021222011011120000
4102313212203223000
5312443103113141
613150222320000
71315031630520
oct226746435300
957258134500
1020260207296
1186573a467a
123b15129000
131bab582354
14da2a9b680
157d8a195b6
hex4b79a3ac0

20260207296 has 280 divisors, whose sum is σ = 69807978240. Its totient is φ = 5689916928.

The previous prime is 20260207259. The next prime is 20260207321. The reversal of 20260207296 is 69270206202.

20260207296 is a `hidden beast` number, since 20 + 2 + 602 + 0 + 7 + 29 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20260207296.

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 39 ways as a sum of consecutive naturals, for example, 2136261 + ... + 2145723.

It is an arithmetic number, because the mean of its divisors is an integer number (249314208).

Almost surely, 220260207296 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 20260207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34903989120).

20260207296 is an abundant number, since it is smaller than the sum of its proper divisors (49547770944).

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

20260207296 is an equidigital number, since it uses as much as digits as its factorization.

20260207296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20260207296 in words is "twenty billion, two hundred sixty million, two hundred seven thousand, two hundred ninety-six".