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19042831600 = 24521323891789
BaseRepresentation
bin10001101111000010…
…101000110011110000
31211011010110002001021
4101233002220303300
5302444431102400
612425333545224
71242620253322
oct215702506360
954133402037
1019042831600
118092200261
1238354a5214
131a462b60c0
14cc9127612
15766bea71a
hex46f0a8cf0

19042831600 has 240 divisors, whose sum is σ = 52018545600. Its totient is φ = 6646210560.

The previous prime is 19042831543. The next prime is 19042831601. The reversal of 19042831600 is 613824091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19042831601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10643506 + ... + 10645294.

It is an arithmetic number, because the mean of its divisors is an integer number (216743940).

Almost surely, 219042831600 is an apocalyptic number.

19042831600 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 19042831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26009272800).

19042831600 is an abundant number, since it is smaller than the sum of its proper divisors (32975714000).

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

19042831600 is a wasteful number, since it uses less digits than its factorization.

19042831600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 19042831600 in words is "nineteen billion, forty-two million, eight hundred thirty-one thousand, six hundred".