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16380021168 = 24327193269313
BaseRepresentation
bin11110100000101001…
…10100100110110000
31120021112220021211200
433100110310212300
5232021241134133
611305212411200
71116624611520
oct172024644660
946245807750
1016380021168
116a46105385
123211776b00
131710720c24
14b15615680
1565d05e913
hex3d05349b0

16380021168 has 240 divisors, whose sum is σ = 53026159680. Its totient is φ = 4623630336.

The previous prime is 16380021121. The next prime is 16380021173. The reversal of 16380021168 is 86112008361.

16380021168 is a `hidden beast` number, since 1 + 6 + 380 + 0 + 211 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52332180 + ... + 52332492.

It is an arithmetic number, because the mean of its divisors is an integer number (220942332).

Almost surely, 216380021168 is an apocalyptic number.

16380021168 is a gapful number since it is divisible by the number (18) 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 16380021168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26513079840).

16380021168 is an abundant number, since it is smaller than the sum of its proper divisors (36646138512).

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

16380021168 is a wasteful number, since it uses less digits than its factorization.

16380021168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16380021168 in words is "sixteen billion, three hundred eighty million, twenty-one thousand, one hundred sixty-eight".