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12525730830 = 23254119717231
BaseRepresentation
bin10111010101001011…
…10111110000001110
31012022221101001110200
423222211313300032
5201123041341310
65430525514330
7622253645454
oct135245676016
935287331420
1012525730830
1153484a2a68
122516a129a6
131248058662
1486b7909d4
154d49bc9c0
hex2ea977c0e

12525730830 has 96 divisors (see below), whose sum is σ = 33532507008. Its totient is φ = 3241996800.

The previous prime is 12525730813. The next prime is 12525730843. The reversal of 12525730830 is 3803752521.

It is a happy number.

12525730830 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 573 + 0 + 83 + 0 = 666.

It is a super-2 number, since 2×125257308302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718315 + ... + 735545.

It is an arithmetic number, because the mean of its divisors is an integer number (349296948).

Almost surely, 212525730830 is an apocalyptic number.

12525730830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12525730830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766253504).

12525730830 is an abundant number, since it is smaller than the sum of its proper divisors (21006776178).

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

12525730830 is a wasteful number, since it uses less digits than its factorization.

12525730830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17482 (or 17479 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12525730830 in words is "twelve billion, five hundred twenty-five million, seven hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 197 205 246 369 394 410 591 615 738 985 1182 1230 1773 1845 1970 2955 3546 3690 5910 8077 8865 16154 17231 17730 24231 34462 40385 48462 51693 72693 80770 86155 103386 121155 145386 155079 172310 242310 258465 310158 363465 516930 706471 726930 775395 1412942 1550790 2119413 3394507 3532355 4238826 6358239 6789014 7064710 10183521 10597065 12716478 16972535 20367042 21194130 30550563 31791195 33945070 50917605 61101126 63582390 101835210 139174787 152752815 278349574 305505630 417524361 695873935 835048722 1252573083 1391747870 2087621805 2505146166 4175243610 6262865415 12525730830