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16104288200 = 235271113257313
BaseRepresentation
bin11101111111110001…
…11110111111001000
31112120100001121022112
432333320332333020
5230440144210300
611222002441452
71110036122360
oct167770767710
945510047275
1016104288200
1169144a60a0
123155363288
13169856b820
14acab5b9a0
15643c45e35
hex3bfe3efc8

16104288200 has 384 divisors, whose sum is σ = 50629259520. Its totient is φ = 4600627200.

The previous prime is 16104288131. The next prime is 16104288209. The reversal of 16104288200 is 288240161.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16104288209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51451244 + ... + 51451556.

It is an arithmetic number, because the mean of its divisors is an integer number (131847030).

Almost surely, 216104288200 is an apocalyptic number.

16104288200 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 16104288200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25314629760).

16104288200 is an abundant number, since it is smaller than the sum of its proper divisors (34524971320).

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

16104288200 is a wasteful number, since it uses less digits than its factorization.

16104288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 16104288200 in words is "sixteen billion, one hundred four million, two hundred eighty-eight thousand, two hundred".