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19045434096 = 2436132343127
BaseRepresentation
bin10001101111001100…
…100100001011110000
31211011022100022000000
4101233030210023300
5303001112342341
612425505430000
71242651342633
oct215714441360
954138308000
1019045434096
118093718587
12383633b300
131a469b7840
14cc9603c1a
157670618b6
hex46f3242f0

19045434096 has 560 divisors, whose sum is σ = 64118562816. Its totient is φ = 5431878144.

The previous prime is 19045433993. The next prime is 19045434097. The reversal of 19045434096 is 69043454091.

19045434096 is a `hidden beast` number, since 1 + 90 + 45 + 434 + 0 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19045434097) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 149963985 + ... + 149964111.

Almost surely, 219045434096 is an apocalyptic number.

19045434096 is a gapful number since it is divisible by the number (16) 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 19045434096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32059281408).

19045434096 is an abundant number, since it is smaller than the sum of its proper divisors (45073128720).

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

19045434096 is a wasteful number, since it uses less digits than its factorization.

19045434096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 19045434096 in words is "nineteen billion, forty-five million, four hundred thirty-four thousand, ninety-six".