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19534108320 = 25325971071307
BaseRepresentation
bin10010001100010100…
…101101011010100000
31212102100212112000100
4102030110231122200
5310001212431240
612550203422400
71261034116056
oct221424553240
955370775010
1019534108320
118314549781
123951b24a00
131ac400579c
14d3448c1d6
15794ddde30
hex48c52d6a0

19534108320 has 288 divisors, whose sum is σ = 68028787008. Its totient is φ = 5103304704.

The previous prime is 19534108303. The next prime is 19534108343. The reversal of 19534108320 is 2380143591.

19534108320 is a `hidden beast` number, since 19 + 534 + 10 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 14945107 + ... + 14946413.

It is an arithmetic number, because the mean of its divisors is an integer number (236211066).

Almost surely, 219534108320 is an apocalyptic number.

19534108320 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 19534108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34014393504).

19534108320 is an abundant number, since it is smaller than the sum of its proper divisors (48494678688).

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

19534108320 is a wasteful number, since it uses less digits than its factorization.

19534108320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19534108320 in words is "nineteen billion, five hundred thirty-four million, one hundred eight thousand, three hundred twenty".