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19422828432 = 24337191013347
BaseRepresentation
bin10010000101101100…
…001101011110010000
31212010121110220201000
4102011230031132100
5304234221002212
612531150342000
71255213213650
oct220554153620
955117426630
1019422828432
118267753527
1239207ba900
131aa6c429b7
14d237a2360
1578a25c1dc
hex485b0d790

19422828432 has 320 divisors, whose sum is σ = 67752806400. Its totient is φ = 5203699200.

The previous prime is 19422828407. The next prime is 19422828449. The reversal of 19422828432 is 23482822491.

19422828432 is a `hidden beast` number, since 194 + 2 + 2 + 8 + 28 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5801383 + ... + 5804729.

It is an arithmetic number, because the mean of its divisors is an integer number (211727520).

Almost surely, 219422828432 is an apocalyptic number.

19422828432 is a gapful number since it is divisible by the number (12) 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 19422828432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33876403200).

19422828432 is an abundant number, since it is smaller than the sum of its proper divisors (48329977968).

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

19422828432 is a wasteful number, since it uses less digits than its factorization.

19422828432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3479 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 19422828432 in words is "nineteen billion, four hundred twenty-two million, eight hundred twenty-eight thousand, four hundred thirty-two".