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16398096000 = 2735311132389
BaseRepresentation
bin11110100010110011…
…10001011010000000
31120022210220120211220
433101121301122000
5232040403033000
611311100035040
71120234342026
oct172131613200
946283816756
1016398096000
116a55330260
123217832a80
1317143abcb0
14b17b9c716
1565e9301a0
hex3d1671680

16398096000 has 512 divisors, whose sum is σ = 63889862400. Its totient is φ = 3667968000.

The previous prime is 16398095993. The next prime is 16398096007. The reversal of 16398096000 is 69089361.

It is an interprime number because it is at equal distance from previous prime (16398095993) and next prime (16398096007).

It is not an unprimeable number, because it can be changed into a prime (16398096007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6862806 + ... + 6865194.

Almost surely, 216398096000 is an apocalyptic number.

16398096000 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 16398096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31944931200).

16398096000 is an abundant number, since it is smaller than the sum of its proper divisors (47491766400).

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

16398096000 is a wasteful number, since it uses less digits than its factorization.

16398096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 16398096000 in words is "sixteen billion, three hundred ninety-eight million, ninety-six thousand".