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20431406592 = 293231281509
BaseRepresentation
bin10011000001110011…
…101000011000000000
31221201220021222211200
4103001303220120000
5313320420002332
613215215541200
71322211043032
oct230163503000
957656258750
1020431406592
118734aa61a3
123b6252a800
131c07b944cc
14dbb703c52
157e8a8517c
hex4c1ce8600

20431406592 has 240 divisors, whose sum is σ = 61205189760. Its totient is φ = 6554419200.

The previous prime is 20431406563. The next prime is 20431406641. The reversal of 20431406592 is 29560413402.

It is a happy number.

20431406592 is a `hidden beast` number, since 20 + 4 + 3 + 1 + 40 + 6 + 592 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40140034 + ... + 40140542.

It is an arithmetic number, because the mean of its divisors is an integer number (255021624).

Almost surely, 220431406592 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 20431406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30602594880).

20431406592 is an abundant number, since it is smaller than the sum of its proper divisors (40773783168).

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

20431406592 is a wasteful number, since it uses less digits than its factorization.

20431406592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 20431406592 its reverse (29560413402), we get a palindrome (49991819994).

The spelling of 20431406592 in words is "twenty billion, four hundred thirty-one million, four hundred six thousand, five hundred ninety-two".