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20124774432 = 2533731107339
BaseRepresentation
bin10010101111100001…
…111011000000100000
31220221112022110121000
4102233201323000200
5312203420240212
613124543432000
71311465521520
oct225741730040
956845273530
1020124774432
118597a01994
123a978b5600
131b894b3a69
14d8cac5680
157cbbb61dc
hex4af87b020

20124774432 has 192 divisors, whose sum is σ = 69247180800. Its totient is φ = 5564401920.

The previous prime is 20124774421. The next prime is 20124774443. The reversal of 20124774432 is 23447742102.

20124774432 is a `hidden beast` number, since 20 + 124 + 77 + 443 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20124774421) and next prime (20124774443).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133819 + ... + 241157.

It is an arithmetic number, because the mean of its divisors is an integer number (360662400).

Almost surely, 220124774432 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 20124774432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34623590400).

20124774432 is an abundant number, since it is smaller than the sum of its proper divisors (49122406368).

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

20124774432 is a wasteful number, since it uses less digits than its factorization.

20124774432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107396 (or 107382 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 20124774432 in words is "twenty billion, one hundred twenty-four million, seven hundred seventy-four thousand, four hundred thirty-two".