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11640136520 = 2352571132309
BaseRepresentation
bin10101101011100111…
…00110001101001000
31010001012222012110102
422311303212031020
5142314333332040
65203012304532
7561311346035
oct126563461510
933035865412
1011640136520
114a3360a941
12230a312148
131136736c5c
147c5d0438c
15481d89515
hex2b5ce6348

11640136520 has 32 divisors (see below), whose sum is σ = 26292238200. Its totient is φ = 4637933568.

The previous prime is 11640136481. The next prime is 11640136531. The reversal of 11640136520 is 2563104611.

It is a happy number.

11640136520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11566142116 + 73994404 = 107546^2 + 8602^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 555875 + ... + 576434.

Almost surely, 211640136520 is an apocalyptic number.

11640136520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11640136520 is an abundant number, since it is smaller than the sum of its proper divisors (14652101680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11640136520 is a wasteful number, since it uses less digits than its factorization.

11640136520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132577 (or 1132573 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 11640136520 in words is "eleven billion, six hundred forty million, one hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 1132309 2264618 4529236 5661545 9058472 11323090 22646180 45292360 291003413 582006826 1164013652 1455017065 2328027304 2910034130 5820068260 11640136520