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16566201344 = 210711172727
BaseRepresentation
bin11110110110110110…
…00010110000000000
31120202112020020000202
433123123002300000
5232411421420334
611335503104332
71124345250050
oct173333026000
946675206022
1016566201344
1170312092a0
123263ba20a8
131740179b04
14b3223b560
1566e58917e
hex3db6c2c00

16566201344 has 264 divisors, whose sum is σ = 43919645952. Its totient is φ = 6066339840.

The previous prime is 16566201341. The next prime is 16566201347. The reversal of 16566201344 is 44310266561.

It is an interprime number because it is at equal distance from previous prime (16566201341) and next prime (16566201347).

It is a junction number, because it is equal to n+sod(n) for n = 16566201298 and 16566201307.

It is not an unprimeable number, because it can be changed into a prime (16566201341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22786709 + ... + 22787435.

Almost surely, 216566201344 is an apocalyptic number.

16566201344 is a gapful number since it is divisible by the number (14) 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 16566201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959822976).

16566201344 is an abundant number, since it is smaller than the sum of its proper divisors (27353444608).

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

16566201344 is a wasteful number, since it uses less digits than its factorization.

16566201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 16566201344 in words is "sixteen billion, five hundred sixty-six million, two hundred one thousand, three hundred forty-four".