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20047813632 = 210347114373
BaseRepresentation
bin10010101010111100…
…010101110000000000
31220202011111110020000
4102222330111300000
5312024220014012
613113154120000
71306542414150
oct225274256000
956664443200
1020047813632
118558517120
123a75b80000
131b76578b22
14d827b0760
157c5062ddc
hex4aaf15c00

20047813632 has 880 divisors, whose sum is σ = 77421011712. Its totient is φ = 5016453120.

The previous prime is 20047813619. The next prime is 20047813657. The reversal of 20047813632 is 23631874002.

It is a happy number.

20047813632 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 7 + 8 + 13 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274627548 + ... + 274627620.

Almost surely, 220047813632 is an apocalyptic number.

20047813632 is a gapful number since it is divisible by the number (22) 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 20047813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38710505856).

20047813632 is an abundant number, since it is smaller than the sum of its proper divisors (57373198080).

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

20047813632 is a wasteful number, since it uses less digits than its factorization.

20047813632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20047813632 in words is "twenty billion, forty-seven million, eight hundred thirteen thousand, six hundred thirty-two".