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16396168320 = 273257343193
BaseRepresentation
bin11110100010100100…
…11010110010000000
31120022200021122120100
433101102122302000
5232034404341240
611310550442400
71120212063000
oct172122326200
946280248510
1016396168320
116a54233a34
123217063400
131713b8575c
14b1781a000
1565e69de30
hex3d149ac80

16396168320 has 768 divisors, whose sum is σ = 67912416000. Its totient is φ = 3641573376.

The previous prime is 16396168297. The next prime is 16396168343. The reversal of 16396168320 is 2386169361.

16396168320 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 616 + 8 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (16396168297) and next prime (16396168343).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84954144 + ... + 84954336.

It is an arithmetic number, because the mean of its divisors is an integer number (88427625).

Almost surely, 216396168320 is an apocalyptic number.

16396168320 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 16396168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33956208000).

16396168320 is an abundant number, since it is smaller than the sum of its proper divisors (51516247680).

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

16396168320 is a wasteful number, since it uses less digits than its factorization.

16396168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 16396168320 in words is "sixteen billion, three hundred ninety-six million, one hundred sixty-eight thousand, three hundred twenty".