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20341837152 = 2535713171989
BaseRepresentation
bin10010111100011101…
…111100110101100000
31221111122202101200000
4102330131330311200
5313130002242102
613202300100000
71320042522450
oct227435746540
957448671600
1020341837152
11869948936a
123b38534600
131bc2463540
14dad869d60
157e0c9101c
hex4bc77cd60

20341837152 has 1152 divisors, whose sum is σ = 83215641600. Its totient is φ = 4729798656.

The previous prime is 20341837151. The next prime is 20341837177. The reversal of 20341837152 is 25173814302.

20341837152 is a `hidden beast` number, since 203 + 418 + 37 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×203418371522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20341837151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228559924 + ... + 228560012.

It is an arithmetic number, because the mean of its divisors is an integer number (72235800).

Almost surely, 220341837152 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 20341837152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41607820800).

20341837152 is an abundant number, since it is smaller than the sum of its proper divisors (62873804448).

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

20341837152 is a wasteful number, since it uses less digits than its factorization.

20341837152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20341837152 in words is "twenty billion, three hundred forty-one million, eight hundred thirty-seven thousand, one hundred fifty-two".