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16864788361 = 3110916213079
BaseRepresentation
bin11111011010011100…
…00011111110001001
31121112100002000102011
433231032003332021
5234014341211421
611425250535521
71134632223121
oct175516037611
947470060364
1016864788361
117174808123
123327b975a1
131789ca1715
14b5db63c81
1568a8b94e1
hex3ed383f89

16864788361 has 16 divisors (see below), whose sum is σ = 17585075200. Its totient is φ = 16155806400.

The previous prime is 16864788359. The next prime is 16864788371. The reversal of 16864788361 is 16388746861.

It is a happy number.

It is a 12-Lehmer number, since φ(16864788361) divides (16864788361-1)12.

It is a cyclic number.

It is not a de Polignac number, because 16864788361 - 21 = 16864788359 is a prime.

It is a super-2 number, since 2×168647883612 (a number of 21 digits) contains 22 as substring.

It is the 129865-th Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16864788296 and 16864788305.

It is not an unprimeable number, because it can be changed into a prime (16864788331) by changing a digit.

It is a nontrivial repunit in base 129864.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5475820 + ... + 5478898.

It is an arithmetic number, because the mean of its divisors is an integer number (1099067200).

Almost surely, 216864788361 is an apocalyptic number.

It is an amenable number.

16864788361 is a deficient number, since it is larger than the sum of its proper divisors (720286839).

16864788361 is a wasteful number, since it uses less digits than its factorization.

16864788361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840.

The product of its digits is 9289728, while the sum is 58.

The spelling of 16864788361 in words is "sixteen billion, eight hundred sixty-four million, seven hundred eighty-eight thousand, three hundred sixty-one".

Divisors: 1 31 109 1621 3079 3379 50251 95449 176689 335611 4991059 5477359 10403941 154722829 544025431 16864788361