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11664601040 = 245145807513
BaseRepresentation
bin10101101110100001…
…11010111111010000
31010002221000010110202
422313100322333100
5142342114213130
65205244514332
7562026321131
oct126720727720
933087003422
1011664601040
114a463aa454
12231654b9a8
13113b8214c1
147c9271c88
154840bd145
hex2b743afd0

11664601040 has 20 divisors (see below), whose sum is σ = 27120197604. Its totient is φ = 4665840384.

The previous prime is 11664601033. The next prime is 11664601061. The reversal of 11664601040 is 4010646611.

It can be written as a sum of positive squares in 2 ways, for example, as 7397376064 + 4267224976 = 86008^2 + 65324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 11664600994 and 11664601012.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 72903677 + ... + 72903836.

Almost surely, 211664601040 is an apocalyptic number.

11664601040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11664601040 is an abundant number, since it is smaller than the sum of its proper divisors (15455596564).

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

11664601040 is a wasteful number, since it uses less digits than its factorization.

11664601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145807526 (or 145807520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 11664601040 in words is "eleven billion, six hundred sixty-four million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 145807513 291615026 583230052 729037565 1166460104 1458075130 2332920208 2916150260 5832300520 11664601040