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12652445340 = 22325439160117
BaseRepresentation
bin10111100100010010…
…01111111010011100
31012122202210211002200
423302021033322130
5201403011222330
65451253451500
7625353003513
oct136211177234
935582724080
1012652445340
115402a804a7
122551340b90
131268393862
1488053767a
154e0b9ca60
hex2f224fe9c

12652445340 has 72 divisors (see below), whose sum is σ = 38466748320. Its totient is φ = 3366278784.

The previous prime is 12652445317. The next prime is 12652445411. The reversal of 12652445340 is 4354425621.

12652445340 is a `hidden beast` number, since 12 + 65 + 244 + 5 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12652445295 and 12652445304.

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 23 ways as a sum of consecutive naturals, for example, 1039 + ... + 159078.

Almost surely, 212652445340 is an apocalyptic number.

12652445340 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 12652445340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233374160).

12652445340 is an abundant number, since it is smaller than the sum of its proper divisors (25814302980).

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

12652445340 is a wasteful number, since it uses less digits than its factorization.

12652445340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160571 (or 160566 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 12652445340 in words is "twelve billion, six hundred fifty-two million, four hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2195 2634 3951 4390 5268 6585 7902 8780 13170 15804 19755 26340 39510 79020 160117 320234 480351 640468 800585 960702 1441053 1601170 1921404 2401755 2882106 3202340 4803510 5764212 7205265 9607020 14410530 28821060 70291363 140582726 210874089 281165452 351456815 421748178 632622267 702913630 843496356 1054370445 1265244534 1405827260 2108740890 2530489068 3163111335 4217481780 6326222670 12652445340