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20091312576 = 263419372149
BaseRepresentation
bin10010101101100010…
…010001100111000000
31220212012100102120000
4102231202101213000
5312121334000301
613121350320000
71310611224216
oct225542214700
956765312500
1020091312576
118580027565
123a88659000
131b8259914a
14d88494cb6
157c8ca6786
hex4ad8919c0

20091312576 has 420 divisors, whose sum is σ = 64864107000. Its totient is φ = 6131718144.

The previous prime is 20091312569. The next prime is 20091312599. The reversal of 20091312576 is 67521319002.

20091312576 is a `hidden beast` number, since 200 + 91 + 312 + 57 + 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 20091312576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 134840950 + ... + 134841098.

It is an arithmetic number, because the mean of its divisors is an integer number (154438350).

Almost surely, 220091312576 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 20091312576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432053500).

20091312576 is an abundant number, since it is smaller than the sum of its proper divisors (44772794424).

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

20091312576 is a wasteful number, since it uses less digits than its factorization.

20091312576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 20091312576 in words is "twenty billion, ninety-one million, three hundred twelve thousand, five hundred seventy-six".