Search a number
-
+
19800482688 = 2732731103769
BaseRepresentation
bin10010011100001100…
…110110001110000000
31220002221002201221200
4102130030312032000
5311022410421223
613032441021200
71300450216530
oct223414661600
956087081850
1019800482688
118440946788
123a07184800
131b3725c25c
14d5b9cb4c0
157ad4a9a43
hex49c336380

19800482688 has 384 divisors, whose sum is σ = 67959091200. Its totient is φ = 5414584320.

The previous prime is 19800482671. The next prime is 19800482701. The reversal of 19800482688 is 88628400891.

19800482688 is a `hidden beast` number, since 1 + 9 + 80 + 0 + 482 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×198004826882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 25747968 + ... + 25748736.

It is an arithmetic number, because the mean of its divisors is an integer number (176976800).

Almost surely, 219800482688 is an apocalyptic number.

19800482688 is a gapful number since it is divisible by the number (18) 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 19800482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33979545600).

19800482688 is an abundant number, since it is smaller than the sum of its proper divisors (48158608512).

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

19800482688 is a wasteful number, since it uses less digits than its factorization.

19800482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 19800482688 in words is "nineteen billion, eight hundred million, four hundred eighty-two thousand, six hundred eighty-eight".