Search a number
-
+
20037019392 = 28321319137257
BaseRepresentation
bin10010101010010011…
…001010011100000000
31220201102012001022100
4102222103022130000
5312013434110032
613112130510400
71306351566105
oct225223123400
956642161270
1020037019392
118552414265
123a72435400
131b742698c0
14d811a0aac
157c412e97c
hex4aa4ca700

20037019392 has 432 divisors, whose sum is σ = 66224864160. Its totient is φ = 5775556608.

The previous prime is 20037019363. The next prime is 20037019421. The reversal of 20037019392 is 29391073002.

It is an interprime number because it is at equal distance from previous prime (20037019363) and next prime (20037019421).

It is a super-2 number, since 2×200370193922 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77964928 + ... + 77965184.

Almost surely, 220037019392 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 20037019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112432080).

20037019392 is an abundant number, since it is smaller than the sum of its proper divisors (46187844768).

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

20037019392 is a wasteful number, since it uses less digits than its factorization.

20037019392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 20037019392 in words is "twenty billion, thirty-seven million, nineteen thousand, three hundred ninety-two".