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19023765000 = 2335417611223
BaseRepresentation
bin10001101101111001…
…111001111000001000
31211002210120101120220
4101231321321320020
5302430040440000
612423413150040
71242266222502
oct215571717010
954083511526
1019023765000
118082468239
12382b02b320
131a4236b7a6
14cc67a2d72
157651d11a0
hex46de79e08

19023765000 has 320 divisors, whose sum is σ = 64010010240. Its totient is φ = 4692480000.

The previous prime is 19023764999. The next prime is 19023765097. The reversal of 19023765000 is 56732091.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15554389 + ... + 15555611.

It is an arithmetic number, because the mean of its divisors is an integer number (200031282).

Almost surely, 219023765000 is an apocalyptic number.

19023765000 is a gapful number since it is divisible by the number (10) 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 19023765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32005005120).

19023765000 is an abundant number, since it is smaller than the sum of its proper divisors (44986245240).

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

19023765000 is a wasteful number, since it uses less digits than its factorization.

19023765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 19023765000 in words is "nineteen billion, twenty-three million, seven hundred sixty-five thousand".