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20218885632 = 293411234147
BaseRepresentation
bin10010110101001000…
…111011011000000000
31221012002101210220000
4102311020323120000
5312402013320012
613142144520000
71314020456301
oct226510733000
957162353800
1020218885632
118636041040
123b03320000
131ba2b4506a
14d9b3c27a8
157d50a5ddc
hex4b523b600

20218885632 has 800 divisors, whose sum is σ = 71869400064. Its totient is φ = 5595955200.

The previous prime is 20218885613. The next prime is 20218885657. The reversal of 20218885632 is 23658881202.

20218885632 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 8 + 8 + 8 + 5 + 632 = 666.

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, 430189033 + ... + 430189079.

Almost surely, 220218885632 is an apocalyptic number.

20218885632 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 20218885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35934700032).

20218885632 is an abundant number, since it is smaller than the sum of its proper divisors (51650514432).

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

20218885632 is a wasteful number, since it uses less digits than its factorization.

20218885632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20218885632 in words is "twenty billion, two hundred eighteen million, eight hundred eighty-five thousand, six hundred thirty-two".