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1193140864 = 2717353881
BaseRepresentation
bin100011100011101…
…1110001010000000
310002011002211120101
41013013132022000
54420421001424
6314221052144
741365346536
oct10707361200
93064084511
101193140864
11562551433
122936b7054
13160262416
14b4666156
156eb33344
hex471de280

1193140864 has 32 divisors (see below), whose sum is σ = 2390744340. Its totient is φ = 593111040.

The previous prime is 1193140859. The next prime is 1193140931. The reversal of 1193140864 is 4680413911.

It can be written as a sum of positive squares in 2 ways, for example, as 1115560000 + 77580864 = 33400^2 + 8808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4797 + ... + 49084.

Almost surely, 21193140864 is an apocalyptic number.

It is an amenable number.

1193140864 is an abundant number, since it is smaller than the sum of its proper divisors (1197603476).

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

1193140864 is an equidigital number, since it uses as much as digits as its factorization.

1193140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54068 (or 54056 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1193140864 is about 34541.8711710874. The cubic root of 1193140864 is about 1060.6299992912.

The spelling of 1193140864 in words is "one billion, one hundred ninety-three million, one hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 11072 22144 53881 107762 215524 431048 862096 1724192 3448384 6896768 9321413 18642826 37285652 74571304 149142608 298285216 596570432 1193140864