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20013955632 = 24341122331179
BaseRepresentation
bin10010101000111011…
…001011101000110000
31220122210210021210000
4102220323023220300
5311442033040012
613105544310000
71305651546606
oct225073135060
956583707700
1020013955632
1185403a1100
123a66772300
131b6c552ac8
14d7c0b9876
157c20c5ddc
hex4a8ecba30

20013955632 has 600 divisors, whose sum is σ = 68965585920. Its totient is φ = 5582649600.

The previous prime is 20013955631. The next prime is 20013955649. The reversal of 20013955632 is 23655931002.

20013955632 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 95 + 563 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20013955631) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111809719 + ... + 111809897.

Almost surely, 220013955632 is an apocalyptic number.

20013955632 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 20013955632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34482792960).

20013955632 is an abundant number, since it is smaller than the sum of its proper divisors (48951630288).

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

20013955632 is a wasteful number, since it uses less digits than its factorization.

20013955632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 20013955632 in words is "twenty billion, thirteen million, nine hundred fifty-five thousand, six hundred thirty-two".