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16086441960 = 233251923102253
BaseRepresentation
bin11101111101101001…
…11001111111101000
31112112002110220212200
432332310321333220
5230421112120320
611220124140200
71106431333461
oct167664717750
945462426780
1016086441960
116905416a36
12314b397660
131694960814
14ac8633d68
156423bd290
hex3bed39fe8

16086441960 has 192 divisors, whose sum is σ = 57425846400. Its totient is φ = 3887212032.

The previous prime is 16086441929. The next prime is 16086441961. The reversal of 16086441960 is 6914468061.

It is a super-2 number, since 2×160864419602 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16086441961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106194 + ... + 208446.

It is an arithmetic number, because the mean of its divisors is an integer number (299092950).

Almost surely, 216086441960 is an apocalyptic number.

16086441960 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 16086441960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28712923200).

16086441960 is an abundant number, since it is smaller than the sum of its proper divisors (41339404440).

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

16086441960 is a wasteful number, since it uses less digits than its factorization.

16086441960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102312 (or 102305 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16086441960 in words is "sixteen billion, eighty-six million, four hundred forty-one thousand, nine hundred sixty".