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961113565311169 = 8922868774722173
BaseRepresentation
bin1101101010001000001011000…
…0101001100011000011000001
311200001000120002212211020212111
43122202002300221203003001
52001433341040204424134
613244041250532255321
7406305110056122454
oct33242026051430301
94601016085736774
10961113565311169
11259270a79491626
128b9662b8471541
133233980aaab51a
1412d4a20534749b
15761ab81e4bc64
hex36a20b0a630c1

961113565311169 has 8 divisors (see below), whose sum is σ = 971913224949480. Its totient is φ = 950313919691136.

The previous prime is 961113565311161. The next prime is 961113565311187.

961113565311169 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19442279235600 + 941671286075569 = 4409340^2 + 30686663^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 961113565311169 - 23 = 961113565311161 is a prime.

It is a super-2 number, since 2×9611135653111692 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961113565311161) 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 7 ways as a sum of consecutive naturals, for example, 201170967 + ... + 205893139.

It is an arithmetic number, because the mean of its divisors is an integer number (121489153118685).

Almost surely, 2961113565311169 is an apocalyptic number.

It is an amenable number.

961113565311169 is a deficient number, since it is larger than the sum of its proper divisors (10799659638311).

961113565311169 is a wasteful number, since it uses less digits than its factorization.

961113565311169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009139.

The product of its digits is 3936600, while the sum is 58.

The spelling of 961113565311169 in words is "nine hundred sixty-one trillion, one hundred thirteen billion, five hundred sixty-five million, three hundred eleven thousand, one hundred sixty-nine".

Divisors: 1 89 2286877 4722173 203532053 420273397 10799028823721 961113565311169