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969428824969 = 111601187729327
BaseRepresentation
bin11100001101101100111…
…01011111001110001001
310102200021011100211021011
432012312131133032021
5111340342234344334
62021203252043521
7130016231023603
oct16066635371611
93380234324234
10969428824969
11344150331690
12137a6b9035a1
137055578b067
1434cc61da173
151a33c915564
hexe1b675f389

969428824969 has 16 divisors (see below), whose sum is σ = 1058819164416. Its totient is φ = 880249216000.

The previous prime is 969428824957. The next prime is 969428825033.

969428824969 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 969428824969 - 25 = 969428824937 is a prime.

It is a super-2 number, since 2×9694288249692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 969428824895 and 969428824904.

It is not an unprimeable number, because it can be changed into a prime (969428824919) 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 15 ways as a sum of consecutive naturals, for example, 33041184 + ... + 33070510.

It is an arithmetic number, because the mean of its divisors is an integer number (66176197776).

Almost surely, 2969428824969 is an apocalyptic number.

It is an amenable number.

969428824969 is a deficient number, since it is larger than the sum of its proper divisors (89390339447).

969428824969 is a wasteful number, since it uses less digits than its factorization.

969428824969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32816.

The product of its digits is 967458816, while the sum is 76.

The spelling of 969428824969 in words is "nine hundred sixty-nine billion, four hundred twenty-eight million, eight hundred twenty-four thousand, nine hundred sixty-nine".

Divisors: 1 11 1601 1877 17611 20647 29327 322597 3005077 33055847 46952527 55046779 516477797 605514569 88129893179 969428824969