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19379412000 = 2534531343107
BaseRepresentation
bin10010000011000110…
…100101110000100000
31212000120210010120000
4102003012211300200
5304142112141000
612523000020000
71254145166304
oct220306456040
955016703500
1019379412000
11824519a083
12390a161600
131a9ac510c0
14d1baddd04
15786533000
hex4831a5c20

19379412000 has 960 divisors, whose sum is σ = 79114299264. Its totient is φ = 4615833600.

The previous prime is 19379411983. The next prime is 19379412001. The reversal of 19379412000 is 21497391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19379412001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 181115947 + ... + 181116053.

Almost surely, 219379412000 is an apocalyptic number.

19379412000 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 19379412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39557149632).

19379412000 is an abundant number, since it is smaller than the sum of its proper divisors (59734887264).

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

19379412000 is a wasteful number, since it uses less digits than its factorization.

19379412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 19379412000 in words is "nineteen billion, three hundred seventy-nine million, four hundred twelve thousand".