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968567765869 = 11295738237789
BaseRepresentation
bin11100001100000110010…
…00110011101101101101
310102121001011010111020101
432012003020303231231
5111332111322001434
62020542012351101
7126656004112324
oct16060310635555
93377034114211
10968567765869
113438492871a0
1213786b475491
137044927a132
1434c43ad90bb
151a2dc02bb14
hexe183233b6d

968567765869 has 16 divisors (see below), whose sum is σ = 1057388924160. Its totient is φ = 879875156160.

The previous prime is 968567765861. The next prime is 968567765887.

968567765869 is nontrivially palindromic in base 10.

968567765869 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968567765869 - 23 = 968567765861 is a prime.

It is a super-2 number, since 2×9685677658692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (8230118400) is a multiple of the sum of its prime divisors (14580).

It is a junction number, because it is equal to n+sod(n) for n = 968567765792 and 968567765801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968567765861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124346827 + ... + 124354615.

It is an arithmetic number, because the mean of its divisors is an integer number (66086807760).

Almost surely, 2968567765869 is an apocalyptic number.

It is an amenable number.

968567765869 is a deficient number, since it is larger than the sum of its proper divisors (88821158291).

968567765869 is a wasteful number, since it uses less digits than its factorization.

968567765869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14580.

The product of its digits is 8230118400, while the sum is 82.

The spelling of 968567765869 in words is "nine hundred sixty-eight billion, five hundred sixty-seven million, seven hundred sixty-five thousand, eight hundred sixty-nine".

Divisors: 1 11 2957 3823 7789 32527 42053 85679 11304611 23032073 29777347 124350721 253352803 327550817 88051615079 968567765869