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12450314500 = 2253132147341
BaseRepresentation
bin10111001100001100…
…01011100100000100
31012010200110111201021
423212012023210010
5200444240031000
65415233240524
7620346633001
oct134606134404
935120414637
1012450314500
115309972618
1224b5703144
131235541700
1486175c8a8
154cd07211a
hex2e618b904

12450314500 has 72 divisors (see below), whose sum is σ = 29444235912. Its totient is φ = 4597008000.

The previous prime is 12450314477. The next prime is 12450314533. The reversal of 12450314500 is 541305421.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12031457344 + 418857156 = 109688^2 + 20466^2 .

It is a super-2 number, since 2×124503145002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10830 + ... + 158170.

It is an arithmetic number, because the mean of its divisors is an integer number (408947721).

Almost surely, 212450314500 is an apocalyptic number.

12450314500 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 12450314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722117956).

12450314500 is an abundant number, since it is smaller than the sum of its proper divisors (16993921412).

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

12450314500 is a wasteful number, since it uses less digits than its factorization.

12450314500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147386 (or 147361 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 12450314500 its reverse (541305421), we get a palindrome (12991619921).

The spelling of 12450314500 in words is "twelve billion, four hundred fifty million, three hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 845 1300 1625 1690 3250 3380 4225 6500 8450 16900 21125 42250 84500 147341 294682 589364 736705 1473410 1915433 2946820 3683525 3830866 7367050 7661732 9577165 14734100 18417625 19154330 24900629 36835250 38308660 47885825 49801258 73670500 95771650 99602516 124503145 191543300 239429125 249006290 478858250 498012580 622515725 957716500 1245031450 2490062900 3112578625 6225157250 12450314500