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13961348991 = 321791250647
BaseRepresentation
bin11010000000010100…
…10100011101111111
31100000222202000100200
431000022110131333
5212043101131431
610225212054543
71002655336242
oct150012243577
940028660320
1013961348991
115a148aa157
122857764453
1314165c8365
149662d5259
1556aa4aee6
hex34029477f

13961348991 has 12 divisors (see below), whose sum is σ = 21352651632. Its totient is φ = 8760062016.

The previous prime is 13961348963. The next prime is 13961349029. The reversal of 13961348991 is 19984316931.

13961348991 is a `hidden beast` number, since 13 + 9 + 61 + 3 + 489 + 91 = 666.

13961348991 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 13961348991 - 25 = 13961348959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961348911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45625171 + ... + 45625476.

It is an arithmetic number, because the mean of its divisors is an integer number (1779387636).

Almost surely, 213961348991 is an apocalyptic number.

13961348991 is a deficient number, since it is larger than the sum of its proper divisors (7391302641).

13961348991 is a wasteful number, since it uses less digits than its factorization.

13961348991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91250670 (or 91250667 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 13961348991 in words is "thirteen billion, nine hundred sixty-one million, three hundred forty-eight thousand, nine hundred ninety-one".

Divisors: 1 3 9 17 51 153 91250647 273751941 821255823 1551260999 4653782997 13961348991