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16895668968 = 2332234662069
BaseRepresentation
bin11111011110000111…
…10111001011101000
31121121111011220122100
433233003313023220
5234100242401333
611432312453400
71135455550053
oct175703671350
947544156570
1016895668968
11719018a192
1233363aa260
1317934c4479
14b63cc1a9a
1568d469213
hex3ef0f72e8

16895668968 has 24 divisors (see below), whose sum is σ = 45759103650. Its totient is φ = 5631889632.

The previous prime is 16895668961. The next prime is 16895668981. The reversal of 16895668968 is 86986659861.

It can be written as a sum of positive squares in only one way, i.e., 9479359044 + 7416309924 = 97362^2 + 86118^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 234662069 = 16895668968 / (1 + 6 + 8 + 9 + 5 + 6 + 6 + 8 + 9 + 6 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 16895668896 and 16895668905.

It is not an unprimeable number, because it can be changed into a prime (16895668961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117330963 + ... + 117331106.

Almost surely, 216895668968 is an apocalyptic number.

16895668968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16895668968 is an abundant number, since it is smaller than the sum of its proper divisors (28863434682).

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

16895668968 is a wasteful number, since it uses less digits than its factorization.

16895668968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234662081 (or 234662074 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 16895668968 in words is "sixteen billion, eight hundred ninety-five million, six hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 234662069 469324138 703986207 938648276 1407972414 1877296552 2111958621 2815944828 4223917242 5631889656 8447834484 16895668968