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19641031872 = 2637111724597
BaseRepresentation
bin10010010010101100…
…100101110011000000
31212200211001210112220
4102102230211303000
5310211101004442
613004543251040
71263503005410
oct222254456300
955624053486
1019641031872
118369939a50
1239818a9a80
131b10201767
14d44762640
1579e4aeeec
hex492b25cc0

19641031872 has 336 divisors, whose sum is σ = 68840226048. Its totient is φ = 4800430080.

The previous prime is 19641031867. The next prime is 19641031913. The reversal of 19641031872 is 27813014691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4270278 + ... + 4274874.

Almost surely, 219641031872 is an apocalyptic number.

19641031872 is a gapful number since it is divisible by the number (12) 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 19641031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34420113024).

19641031872 is an abundant number, since it is smaller than the sum of its proper divisors (49199194176).

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

19641031872 is a wasteful number, since it uses less digits than its factorization.

19641031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 19641031872 in words is "nineteen billion, six hundred forty-one million, thirty-one thousand, eight hundred seventy-two".