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19465427808 = 25327389101103
BaseRepresentation
bin10010001000001110…
…101101101101100000
31212020120122012001200
4102020032231231200
5304331122142213
612535311401200
71256241256251
oct221016555540
955216565050
1019465427808
1182897aa022
123932b23200
131ab2a09728
14d292d0b28
1578dd74273
hex4883adb60

19465427808 has 288 divisors, whose sum is σ = 57861760320. Its totient is φ = 6204211200.

The previous prime is 19465427783. The next prime is 19465427851. The reversal of 19465427808 is 80872456491.

It is a happy number.

19465427808 is a `hidden beast` number, since 1 + 94 + 6 + 542 + 7 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188984685 + ... + 188984787.

It is an arithmetic number, because the mean of its divisors is an integer number (200908890).

Almost surely, 219465427808 is an apocalyptic number.

19465427808 is a gapful number since it is divisible by the number (18) 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 19465427808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28930880160).

19465427808 is an abundant number, since it is smaller than the sum of its proper divisors (38396332512).

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

19465427808 is a wasteful number, since it uses less digits than its factorization.

19465427808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 19465427808 in words is "nineteen billion, four hundred sixty-five million, four hundred twenty-seven thousand, eight hundred eight".