Search a number
-
+
16309133568 = 28357134367
BaseRepresentation
bin11110011000001100…
…11010000100000000
31120002121111211100000
433030012122010000
5231400114233233
611254201200000
71115104230240
oct171406320400
946077454300
1016309133568
116a0a098492
1231b1a90000
1316cbb313c0
14b0a041b20
15656c0ad13
hex3cc19a100

16309133568 has 864 divisors, whose sum is σ = 62330684416. Its totient is φ = 4138573824.

The previous prime is 16309133567. The next prime is 16309133579. The reversal of 16309133568 is 86533190361.

16309133568 is a `hidden beast` number, since 1 + 6 + 309 + 1 + 335 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16309133567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243419871 + ... + 243419937.

Almost surely, 216309133568 is an apocalyptic number.

16309133568 is a gapful number since it is divisible by the number (18) 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 16309133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31165342208).

16309133568 is an abundant number, since it is smaller than the sum of its proper divisors (46021550848).

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

16309133568 is an equidigital number, since it uses as much as digits as its factorization.

16309133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 16309133568 in words is "sixteen billion, three hundred nine million, one hundred thirty-three thousand, five hundred sixty-eight".