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16321968900 = 22325218135521
BaseRepresentation
bin11110011001101110…
…10111101100000100
31120010111122221002200
433030313113230010
5231411411001100
611255340234500
71115321306106
oct171467275404
946114587080
1016321968900
116a163648a6
1231b623ba30
1317016a6683
14b0ba23576
15657de3e00
hex3ccdd7b04

16321968900 has 54 divisors (see below), whose sum is σ = 51160307562. Its totient is φ = 4352524800.

The previous prime is 16321968833. The next prime is 16321968907. The reversal of 16321968900 is 986912361.

It is a happy number.

16321968900 is a `hidden beast` number, since 1 + 632 + 1 + 9 + 6 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2810696256 + 13511272644 = 53016^2 + 116238^2 .

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 (16321968907) 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 17 ways as a sum of consecutive naturals, for example, 9066861 + ... + 9068660.

It is an arithmetic number, because the mean of its divisors is an integer number (947413103).

Almost surely, 216321968900 is an apocalyptic number.

16321968900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16321968900 is an abundant number, since it is smaller than the sum of its proper divisors (34838338662).

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

16321968900 is a wasteful number, since it uses less digits than its factorization.

16321968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18135541 (or 18135531 counting only the distinct ones).

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

The spelling of 16321968900 in words is "sixteen billion, three hundred twenty-one million, nine hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 18135521 36271042 54406563 72542084 90677605 108813126 163219689 181355210 217626252 272032815 326439378 362710420 453388025 544065630 652878756 816098445 906776050 1088131260 1360164075 1632196890 1813552100 2720328150 3264393780 4080492225 5440656300 8160984450 16321968900