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10327717000 = 235326938393
BaseRepresentation
bin10011001111001010…
…00111010010001000
3222122202102101100001
421213211013102020
5132122343421000
64424450452344
7513634101046
oct114745072210
928582371301
1010327717000
11441a7aa707
1220028940b4
13c87871063
146dd8ad396
15406a4446a
hex267947488

10327717000 has 64 divisors (see below), whose sum is σ = 24257329200. Its totient is φ = 4115622400.

The previous prime is 10327716983. The next prime is 10327717021. The reversal of 10327717000 is 71772301.

It can be written as a sum of positive squares in 8 ways, for example, as 328116996 + 9999600004 = 18114^2 + 99998^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10327717000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249804 + ... + 288196.

Almost surely, 210327717000 is an apocalyptic number.

10327717000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10327717000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128664600).

10327717000 is an abundant number, since it is smaller than the sum of its proper divisors (13929612200).

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

10327717000 is a wasteful number, since it uses less digits than its factorization.

10327717000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38683 (or 38669 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

The spelling of 10327717000 in words is "ten billion, three hundred twenty-seven million, seven hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 269 500 538 1000 1076 1345 2152 2690 5380 6725 10760 13450 26900 33625 38393 53800 67250 76786 134500 153572 191965 269000 307144 383930 767860 959825 1535720 1919650 3839300 4799125 7678600 9598250 10327717 19196500 20655434 38393000 41310868 51638585 82621736 103277170 206554340 258192925 413108680 516385850 1032771700 1290964625 2065543400 2581929250 5163858500 10327717000