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13248193000 = 235371892599
BaseRepresentation
bin11000101011010011…
…10110000111101000
31021012021210221020211
430111221312013220
5204113014134000
610030334430504
7646205532250
oct142551660750
937167727224
1013248193000
115689294539
122698962434
131331930a73
148d96d4960
1552812a7ba
hex315a761e8

13248193000 has 64 divisors (see below), whose sum is σ = 35429472000. Its totient is φ = 4542235200.

The previous prime is 13248192983. The next prime is 13248193031. The reversal of 13248193000 is 39184231.

13248193000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 939300 + ... + 953299.

It is an arithmetic number, because the mean of its divisors is an integer number (553585500).

Almost surely, 213248193000 is an apocalyptic number.

13248193000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13248193000 is an abundant number, since it is smaller than the sum of its proper divisors (22181279000).

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

13248193000 is a wasteful number, since it uses less digits than its factorization.

13248193000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892627 (or 1892613 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 13248193000 in words is "thirteen billion, two hundred forty-eight million, one hundred ninety-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1892599 3785198 7570396 9462995 13248193 15140792 18925990 26496386 37851980 47314975 52992772 66240965 75703960 94629950 105985544 132481930 189259900 236574875 264963860 331204825 378519800 473149750 529927720 662409650 946299500 1324819300 1656024125 1892599000 2649638600 3312048250 6624096500 13248193000