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16980283320 = 233571121371181
BaseRepresentation
bin11111101000001101…
…01000111110111000
31121211101101202201020
433310012220332320
5234233423031240
611444534222440
71140534012120
oct176406507670
947741352636
1016980283320
117223a22200
12335a7b4a20
1317a7babc30
14b71229c80
15695ad00d0
hex3f41a8fb8

16980283320 has 768 divisors, whose sum is σ = 70270986240. Its totient is φ = 3193344000.

The previous prime is 16980283289. The next prime is 16980283321. The reversal of 16980283320 is 2338208961.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16980283321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93813630 + ... + 93813810.

It is an arithmetic number, because the mean of its divisors is an integer number (91498680).

Almost surely, 216980283320 is an apocalyptic number.

16980283320 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 16980283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35135493120).

16980283320 is an abundant number, since it is smaller than the sum of its proper divisors (53290702920).

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

16980283320 is a wasteful number, since it uses less digits than its factorization.

16980283320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 16980283320 in words is "sixteen billion, nine hundred eighty million, two hundred eighty-three thousand, three hundred twenty".