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10768372000 = 25532692093
BaseRepresentation
bin10100000011101100…
…00101000100100000
31000210110120222100121
422001312011010200
5134023200401000
64540311330024
7530564436361
oct120166050440
930713528317
1010768372000
1146265132a1
122106380914
131027c48369
14742217b68
15430588b1a
hex281d85120

10768372000 has 48 divisors (see below), whose sum is σ = 26457899832. Its totient is φ = 4307347200.

The previous prime is 10768371983. The next prime is 10768372007. The reversal of 10768372000 is 27386701.

It can be written as a sum of positive squares in 4 ways, for example, as 2687800336 + 8080571664 = 51844^2 + 89892^2 .

It is not an unprimeable number, because it can be changed into a prime (10768372007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1342047 + ... + 1350046.

Almost surely, 210768372000 is an apocalyptic number.

10768372000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10768372000 is an abundant number, since it is smaller than the sum of its proper divisors (15689527832).

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

10768372000 is an equidigital number, since it uses as much as digits as its factorization.

10768372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692118 (or 2692100 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 10768372000 in words is "ten billion, seven hundred sixty-eight million, three hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 2692093 5384186 10768372 13460465 21536744 26920930 43073488 53841860 67302325 86146976 107683720 134604650 215367440 269209300 336511625 430734880 538418600 673023250 1076837200 1346046500 2153674400 2692093000 5384186000 10768372000