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16382695680 = 2832513139787
BaseRepresentation
bin11110100000111110…
…00001100100000000
31120021201221011120200
433100133001210000
5232022432230210
611305350005200
71116656421111
oct172037014400
946251834520
1016382695680
116a4767181a
123212646800
131711149390
14b15b10208
1565d3dc0c0
hex3d07c1900

16382695680 has 432 divisors, whose sum is σ = 61559883840. Its totient is φ = 3998564352.

The previous prime is 16382695649. The next prime is 16382695687. The reversal of 16382695680 is 8659628361.

It is a happy number.

16382695680 is a `hidden beast` number, since 16 + 3 + 8 + 2 + 69 + 568 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (16382695687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20816247 + ... + 20817033.

Almost surely, 216382695680 is an apocalyptic number.

16382695680 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 16382695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30779941920).

16382695680 is an abundant number, since it is smaller than the sum of its proper divisors (45177188160).

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

16382695680 is a wasteful number, since it uses less digits than its factorization.

16382695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16382695680 in words is "sixteen billion, three hundred eighty-two million, six hundred ninety-five thousand, six hundred eighty".