Search a number
-
+
16355535768 = 233311131929312
BaseRepresentation
bin11110011101101110…
…11010101110011000
31120012211211022012000
433032313122232120
5231444004121033
611302535521000
71116206521515
oct171667325630
946184738160
1016355535768
116a33301110
123205529160
13170862a020
14b1228030c
1565ad24a13
hex3ceddab98

16355535768 has 768 divisors, whose sum is σ = 60056640000. Its totient is φ = 4049740800.

The previous prime is 16355535751. The next prime is 16355535793. The reversal of 16355535768 is 86753555361.

16355535768 is a `hidden beast` number, since 1 + 6 + 35 + 5 + 535 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11340000) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 527597913 + ... + 527597943.

It is an arithmetic number, because the mean of its divisors is an integer number (78198750).

Almost surely, 216355535768 is an apocalyptic number.

16355535768 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 16355535768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028320000).

16355535768 is an abundant number, since it is smaller than the sum of its proper divisors (43701104232).

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

16355535768 is a wasteful number, since it uses less digits than its factorization.

16355535768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 16355535768 in words is "sixteen billion, three hundred fifty-five million, five hundred thirty-five thousand, seven hundred sixty-eight".