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968385583869 = 31129345017693
BaseRepresentation
bin11100001011110000100…
…01110101101011111101
310102120120110022200111220
432011320101311223331
5111331223202140434
62020511543503553
7126651332435424
oct16057021655375
93376513280456
10968385583869
11343765464160
1213781a457bb9
137041a5c1032
1434c278342bb
151a2cb041d49
hexe178475afd

968385583869 has 8 divisors (see below), whose sum is σ = 1408560849312. Its totient is φ = 586900353840.

The previous prime is 968385583861. The next prime is 968385583901.

968385583869 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 968385583869 - 23 = 968385583861 is a prime.

It is a super-2 number, since 2×9683855838692 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 968385583794 and 968385583803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968385583861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14672508814 + ... + 14672508879.

It is an arithmetic number, because the mean of its divisors is an integer number (176070106164).

Almost surely, 2968385583869 is an apocalyptic number.

It is an amenable number.

968385583869 is a deficient number, since it is larger than the sum of its proper divisors (440175265443).

968385583869 is a wasteful number, since it uses less digits than its factorization.

968385583869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29345017707.

The product of its digits is 2687385600, while the sum is 78.

The spelling of 968385583869 in words is "nine hundred sixty-eight billion, three hundred eighty-five million, five hundred eighty-three thousand, eight hundred sixty-nine".

Divisors: 1 3 11 33 29345017693 88035053079 322795194623 968385583869