Search a number
-
+
12006448650 = 23252719200609
BaseRepresentation
bin10110010111010001…
…11101111000001010
31010222202020210020100
423023220331320022
5144042122324100
65303215510230
7603350062320
oct131350757012
933882223210
1012006448650
115101366639
1223b0b28376
1311945b1ab1
1481c819d10
154a40e6400
hex2cba3de0a

12006448650 has 144 divisors (see below), whose sum is σ = 38805998400. Its totient is φ = 2599879680.

The previous prime is 12006448639. The next prime is 12006448697. The reversal of 12006448650 is 5684460021.

12006448650 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 644 + 8 + 6 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40455 + ... + 160154.

It is an arithmetic number, because the mean of its divisors is an integer number (269486100).

Almost surely, 212006448650 is an apocalyptic number.

12006448650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12006448650 is an abundant number, since it is smaller than the sum of its proper divisors (26799549750).

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

12006448650 is a wasteful number, since it uses less digits than its factorization.

12006448650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200653 (or 200645 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12006448650 in words is "twelve billion, six million, four hundred forty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 855 950 1050 1197 1330 1425 1575 1710 1995 2394 2850 3150 3325 3990 4275 5985 6650 8550 9975 11970 19950 29925 59850 200609 401218 601827 1003045 1203654 1404263 1805481 2006090 2808526 3009135 3610962 3811571 4212789 5015225 6018270 7021315 7623142 8425578 9027405 10030450 11434713 12638367 14042630 15045675 18054810 19057855 21063945 22869426 25276734 26680997 30091350 34304139 35106575 38115710 42127890 45137025 53361994 57173565 63191835 68608278 70213150 80042991 90274050 95289275 105319725 114347130 126383670 133404985 160085982 171520695 190578550 210639450 240128973 266809970 285867825 315959175 343041390 400214955 480257946 571735650 631918350 667024925 800429910 857603475 1200644865 1334049850 1715206950 2001074775 2401289730 4002149550 6003224325 12006448650