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16989213600 = 253252532112
BaseRepresentation
bin11111101001010001…
…01101001110100000
31121212000012110202100
433310220231032200
5234243214313400
611445453450400
71141002634662
oct176450551640
947760173670
1016989213600
117228a716a7
1233617a0a00
1317a99b7918
14b724b2532
15696796100
hex3f4a2d3a0

16989213600 has 324 divisors, whose sum is σ = 61329211398. Its totient is φ = 4423910400.

The previous prime is 16989213539. The next prime is 16989213617. The reversal of 16989213600 is 631298961.

It is a happy number.

16989213600 is a `hidden beast` number, since 16 + 9 + 8 + 9 + 21 + 3 + 600 = 666.

16989213600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14161952016 + 2827261584 = 119004^2 + 53172^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 80517495 + ... + 80517705.

Almost surely, 216989213600 is an apocalyptic number.

16989213600 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 16989213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30664605699).

16989213600 is an abundant number, since it is smaller than the sum of its proper divisors (44339997798).

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

16989213600 is a wasteful number, since it uses less digits than its factorization.

16989213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 16989213600 in words is "sixteen billion, nine hundred eighty-nine million, two hundred thirteen thousand, six hundred".