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19342900368 = 24321131297131
BaseRepresentation
bin10010000000111011…
…010011110010010000
31211221001002011000100
4102000323103302100
5304103240302433
612515213252400
71253222640351
oct220073236220
954831064010
1019342900368
118226621380
1238b9a94100
131a9350929c
14d16d17d28
1578321eb13
hex480ed3c90

19342900368 has 360 divisors, whose sum is σ = 62120586528. Its totient is φ = 5571072000.

The previous prime is 19342900333. The next prime is 19342900397. The reversal of 19342900368 is 86300924391.

It is a happy number.

19342900368 is a `hidden beast` number, since 193 + 429 + 0 + 0 + 36 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147655663 + ... + 147655793.

Almost surely, 219342900368 is an apocalyptic number.

19342900368 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 19342900368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31060293264).

19342900368 is an abundant number, since it is smaller than the sum of its proper divisors (42777686160).

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

19342900368 is a wasteful number, since it uses less digits than its factorization.

19342900368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 19342900368 in words is "nineteen billion, three hundred forty-two million, nine hundred thousand, three hundred sixty-eight".