Search a number
-
+
12506265000 = 23335492639
BaseRepresentation
bin10111010010110111…
…00111010110101000
31012021120202002101000
423221123213112220
5201103100440000
65424552355000
7621626332665
oct135133472650
935246662330
1012506265000
115338507aa9
1225103a5a60
131244001408
14868d64a6c
154d2e25000
hex2e96e75a8

12506265000 has 160 divisors (see below), whose sum is σ = 43411104000. Its totient is φ = 3334968000.

The previous prime is 12506264989. The next prime is 12506265001. The reversal of 12506265000 is 56260521.

12506265000 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 6 + 2 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12506265001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 88681 + ... + 181319.

It is an arithmetic number, because the mean of its divisors is an integer number (271319400).

Almost surely, 212506265000 is an apocalyptic number.

12506265000 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 12506265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21705552000).

12506265000 is an abundant number, since it is smaller than the sum of its proper divisors (30904839000).

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

12506265000 is an equidigital number, since it uses as much as digits as its factorization.

12506265000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92674 (or 92649 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 12506265000 in words is "twelve billion, five hundred six million, two hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 625 675 750 900 1000 1080 1125 1250 1350 1500 1800 1875 2250 2500 2700 3000 3375 3750 4500 5000 5400 5625 6750 7500 9000 11250 13500 15000 16875 22500 27000 33750 45000 67500 92639 135000 185278 277917 370556 463195 555834 741112 833751 926390 1111668 1389585 1667502 1852780 2223336 2315975 2501253 2779170 3335004 3705560 4168755 4631950 5002506 5558340 6670008 6947925 8337510 9263900 10005012 11116680 11579875 12506265 13895850 16675020 18527800 20010024 20843775 23159750 25012530 27791700 33350040 34739625 41687550 46319500 50025060 55583400 57899375 62531325 69479250 83375100 92639000 100050120 104218875 115798750 125062650 138958500 166750200 173698125 208437750 231597500 250125300 277917000 312656625 347396250 416875500 463195000 500250600 521094375 625313250 694792500 833751000 1042188750 1250626500 1389585000 1563283125 2084377500 2501253000 3126566250 4168755000 6253132500 12506265000