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968836638869 = 112910130070351
BaseRepresentation
bin11100001100100110010…
…10011110100010010101
310102121201220001122122122
432012103022132202111
5111333134134420434
62021024415305325
7126665450360531
oct16062312364225
93377656048578
10968836638869
11343977030490
1213792551b245
137048cb99c98
1434c6b6c8bc1
151a30593cc2e
hexe19329e895

968836638869 has 16 divisors (see below), whose sum is σ = 1104183325440. Its totient is φ = 841969800000.

The previous prime is 968836638863. The next prime is 968836638871.

968836638869 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 968836638869 - 24 = 968836638853 is a prime.

It is a super-2 number, since 2×9688366388692 (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 = 968836638793 and 968836638802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968836638863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15002957 + ... + 15067394.

It is an arithmetic number, because the mean of its divisors is an integer number (69011457840).

Almost surely, 2968836638869 is an apocalyptic number.

It is an amenable number.

968836638869 is a deficient number, since it is larger than the sum of its proper divisors (135346686571).

968836638869 is a wasteful number, since it uses less digits than its factorization.

968836638869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30070492.

The product of its digits is 3869835264, while the sum is 80.

The spelling of 968836638869 in words is "nine hundred sixty-eight billion, eight hundred thirty-six million, six hundred thirty-eight thousand, eight hundred sixty-nine".

Divisors: 1 11 29 101 319 1111 2929 32219 30070351 330773861 872040179 3037105451 9592441969 33408159961 88076058079 968836638869