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961413661 = 131937105199
BaseRepresentation
bin111001010011100…
…000001000011101
32111000001212121101
4321103200020131
53432110214121
6235222233101
732552611165
oct7123401035
92430055541
10961413661
1145376934a
12229b85791
13124249c30
14919855a5
155960d491
hex394e021d

961413661 has 16 divisors (see below), whose sum is σ = 1119328000. Its totient is φ = 818019648.

The previous prime is 961413659. The next prime is 961413667. The reversal of 961413661 is 166314169.

It is a cyclic number.

It is not a de Polignac number, because 961413661 - 21 = 961413659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 961413661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961413667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43461 + ... + 61738.

It is an arithmetic number, because the mean of its divisors is an integer number (69958000).

Almost surely, 2961413661 is an apocalyptic number.

It is an amenable number.

961413661 is a deficient number, since it is larger than the sum of its proper divisors (157914339).

961413661 is a wasteful number, since it uses less digits than its factorization.

961413661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105268.

The product of its digits is 23328, while the sum is 37.

The square root of 961413661 is about 31006.6712337845. The cubic root of 961413661 is about 986.9688127762.

The spelling of 961413661 in words is "nine hundred sixty-one million, four hundred thirteen thousand, six hundred sixty-one".

Divisors: 1 13 19 37 247 481 703 9139 105199 1367587 1998781 3892363 25984153 50600719 73954897 961413661