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20691127296 = 21035721697
BaseRepresentation
bin10011010001010010…
…011000110000000000
31222102000000011200000
4103101102120300000
5314333412033141
613301054400000
71331513452200
oct232122306000
958360004600
1020691127296
118858669204
124015500000
131c4992b5b8
141003dd0400
158117895b6
hex4d1498c00

20691127296 has 396 divisors, whose sum is σ = 72116022888. Its totient is φ = 5908267008.

The previous prime is 20691127279. The next prime is 20691127333. The reversal of 20691127296 is 69272119602.

20691127296 is a `hidden beast` number, since 206 + 91 + 1 + 272 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12191920 + ... + 12193616.

Almost surely, 220691127296 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 20691127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36058011444).

20691127296 is an abundant number, since it is smaller than the sum of its proper divisors (51424895592).

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

20691127296 is an equidigital number, since it uses as much as digits as its factorization.

20691127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 20691127296 in words is "twenty billion, six hundred ninety-one million, one hundred twenty-seven thousand, two hundred ninety-six".