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16399136000 = 28531379499
BaseRepresentation
bin11110100010111011…
…01111010100000000
31120022212212102110102
433101131233110000
5232041134323000
611311134221532
71120246233062
oct172135572400
946285772412
1016399136000
116a55980665
1232180548a8
131714684490
14b17d8d732
1565ea883d5
hex3d176f500

16399136000 has 288 divisors, whose sum is σ = 44640960000. Its totient is φ = 5966438400.

The previous prime is 16399135981. The next prime is 16399136011. The reversal of 16399136000 is 63199361.

16399136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32863751 + ... + 32864249.

Almost surely, 216399136000 is an apocalyptic number.

16399136000 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 16399136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320480000).

16399136000 is an abundant number, since it is smaller than the sum of its proper divisors (28241824000).

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

16399136000 is an equidigital number, since it uses as much as digits as its factorization.

16399136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 38.

It can be divided in two parts, 163991 and 36000, that added together give a palindrome (199991).

The spelling of 16399136000 in words is "sixteen billion, three hundred ninety-nine million, one hundred thirty-six thousand".