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20041398720 = 2632574361379
BaseRepresentation
bin10010101010100011…
…110111100111000000
31220201201102112121200
4102222203313213000
5312021044224340
613112404421200
71306434035610
oct225243674700
956651375550
1020041398720
118554935542
123a739a7800
131b75141015
14d819c0a40
157c46e7330
hex4aa8f79c0

20041398720 has 672 divisors, whose sum is σ = 82151646720. Its totient is φ = 4389396480.

The previous prime is 20041398709. The next prime is 20041398779. The reversal of 20041398720 is 2789314002.

20041398720 is a `hidden beast` number, since 200 + 41 + 398 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52879491 + ... + 52879869.

Almost surely, 220041398720 is an apocalyptic number.

20041398720 is a gapful number since it is divisible by the number (20) 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 20041398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41075823360).

20041398720 is an abundant number, since it is smaller than the sum of its proper divisors (62110248000).

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

20041398720 is a wasteful number, since it uses less digits than its factorization.

20041398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20041398720 in words is "twenty billion, forty-one million, three hundred ninety-eight thousand, seven hundred twenty".