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11640909141 = 33983438601
BaseRepresentation
bin10101101011101101…
…00010110101010101
31010001021102110022000
422311312202311111
5142320033043031
65203041025513
7561321044421
oct126566426525
933037373260
1011640909141
114a33a98374
12230a625299
131136947824
147c6065b81
15481e8d3e6
hex2b5da2d55

11640909141 has 16 divisors (see below), whose sum is σ = 17263374720. Its totient is φ = 7752693600.

The previous prime is 11640909127. The next prime is 11640909173. The reversal of 11640909141 is 14190904611.

11640909141 is a `hidden beast` number, since 1 + 1 + 640 + 9 + 0 + 9 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 11640909141 - 211 = 11640907093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11640909096 and 11640909105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640907141) 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, 192760 + ... + 245841.

It is an arithmetic number, because the mean of its divisors is an integer number (1078960920).

Almost surely, 211640909141 is an apocalyptic number.

It is an amenable number.

11640909141 is a deficient number, since it is larger than the sum of its proper divisors (5622465579).

11640909141 is an equidigital number, since it uses as much as digits as its factorization.

11640909141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439593 (or 439587 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11640909141 in words is "eleven billion, six hundred forty million, nine hundred nine thousand, one hundred forty-one".

Divisors: 1 3 9 27 983 2949 8847 26541 438601 1315803 3947409 11842227 431144783 1293434349 3880303047 11640909141