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20124946296 = 23327133199083
BaseRepresentation
bin10010101111100010…
…100100111101111000
31220221112122012100100
4102233202210331320
5312203441240141
613124551235400
71311500135550
oct225742447570
956845565310
1020124946296
11859800a024
123a97978b60
131b89544060
14d8cb2c160
157cbbec0b6
hex4af8a4f78

20124946296 has 192 divisors, whose sum is σ = 69247825920. Its totient is φ = 5136410880.

The previous prime is 20124946291. The next prime is 20124946321. The reversal of 20124946296 is 69264942102.

20124946296 is a `hidden beast` number, since 2 + 0 + 12 + 4 + 9 + 4 + 629 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124946291) 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 47 ways as a sum of consecutive naturals, for example, 153571 + ... + 252653.

It is an arithmetic number, because the mean of its divisors is an integer number (360665760).

Almost surely, 220124946296 is an apocalyptic number.

20124946296 is a gapful number since it is divisible by the number (26) 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 20124946296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34623912960).

20124946296 is an abundant number, since it is smaller than the sum of its proper divisors (49122879624).

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

20124946296 is a wasteful number, since it uses less digits than its factorization.

20124946296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99146 (or 99139 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20124946296 in words is "twenty billion, one hundred twenty-four million, nine hundred forty-six thousand, two hundred ninety-six".