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11640838407 = 3112315337073
BaseRepresentation
bin10101101011101100…
…10001100100000111
31010001021021212021020
422311312101210013
5142320023312112
65203035322223
7561320331252
oct126566214407
933037255236
1011640838407
114a33a4a210
12230a5b0373
131136921583
147c6048099
15481e7748c
hex2b5d91907

11640838407 has 16 divisors (see below), whose sum is σ = 17668309248. Its totient is φ = 6748311680.

The previous prime is 11640838399. The next prime is 11640838423. The reversal of 11640838407 is 70483804611.

11640838407 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 11640838407 - 23 = 11640838399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640838477) 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 15 ways as a sum of consecutive naturals, for example, 7667778 + ... + 7669295.

It is an arithmetic number, because the mean of its divisors is an integer number (1104269328).

Almost surely, 211640838407 is an apocalyptic number.

11640838407 is a deficient number, since it is larger than the sum of its proper divisors (6027470841).

11640838407 is a wasteful number, since it uses less digits than its factorization.

11640838407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15337110.

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11640838407 in words is "eleven billion, six hundred forty million, eight hundred thirty-eight thousand, four hundred seven".

Divisors: 1 3 11 23 33 69 253 759 15337073 46011219 168707803 352752679 506123409 1058258037 3880279469 11640838407