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11328072660 = 22325531187429
BaseRepresentation
bin10101000110011010…
…01010101111010100
31002020110202201022200
422203031022233110
5141144441311120
65112023524500
7550502012622
oct124315125724
932213681280
1011328072660
114893446723
1222418b9730
1310b6ba4098
147966b0512
15464795e90
hex2a334abd4

11328072660 has 72 divisors (see below), whose sum is σ = 35010186120. Its totient is φ = 2963820288.

The previous prime is 11328072643. The next prime is 11328072709. The reversal of 11328072660 is 6627082311.

11328072660 is a `hidden beast` number, since 113 + 280 + 7 + 266 + 0 = 666.

11328072660 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 4188160656 + 7139912004 = 64716^2 + 84498^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 584175 + ... + 603254.

It is an arithmetic number, because the mean of its divisors is an integer number (486252585).

Almost surely, 211328072660 is an apocalyptic number.

11328072660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11328072660 is an abundant number, since it is smaller than the sum of its proper divisors (23682113460).

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

11328072660 is a wasteful number, since it uses less digits than its factorization.

11328072660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187497 (or 1187492 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11328072660 in words is "eleven billion, three hundred twenty-eight million, seventy-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 1187429 2374858 3562287 4749716 5937145 7124574 10686861 11874290 14249148 17811435 21373722 23748580 35622870 42747444 53434305 62933737 71245740 106868610 125867474 188801211 213737220 251734948 314668685 377602422 566403633 629337370 755204844 944006055 1132807266 1258674740 1888012110 2265614532 2832018165 3776024220 5664036330 11328072660