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16387080192 = 2163673
BaseRepresentation
bin11110100001011111…
…10000000000000000
31120022001011221000000
433100233300000000
5232030043031232
611310024000000
71120041612000
oct172057600000
946261157000
1016387080192
116a4a09698a
123214000000
131712022c72
14b16532000
1565d9a627c
hex3d0bf0000

16387080192 has 476 divisors, whose sum is σ = 57304241200. Its totient is φ = 4682022912.

The previous prime is 16387080167. The next prime is 16387080251. The reversal of 16387080192 is 29108078361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16387080192 is a `hidden beast` number, since 1 + 6 + 387 + 0 + 80 + 192 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2341011453 + ... + 2341011459.

Almost surely, 216387080192 is an apocalyptic number.

16387080192 is a gapful number since it is divisible by the number (12) 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 16387080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28652120600).

16387080192 is an abundant number, since it is smaller than the sum of its proper divisors (40917161008).

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

16387080192 is an frugal number, since it uses more digits than its factorization.

16387080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

16387080192 divided by its product of nonzero digits (145152) gives a square (112896 = 3362).

The spelling of 16387080192 in words is "sixteen billion, three hundred eighty-seven million, eighty thousand, one hundred ninety-two".