Search a number
-
+
15212645140 = 22571127191249
BaseRepresentation
bin11100010101011111…
…01000101100010100
31110021012021102222111
432022233220230110
5222123414121030
610553311440404
71045661231050
oct161257505424
943235242874
1015212645140
1164a7161500
122b46826104
13158590cb94
14a44578c60
155e081a62a
hex38abe8b14

15212645140 has 144 divisors (see below), whose sum is σ = 40219200000. Its totient is φ = 4731217920.

The previous prime is 15212645131. The next prime is 15212645141. The reversal of 15212645140 is 4154621251.

It is a happy number.

15212645140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15212645141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12179236 + ... + 12180484.

It is an arithmetic number, because the mean of its divisors is an integer number (279300000).

Almost surely, 215212645140 is an apocalyptic number.

15212645140 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 15212645140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600000).

15212645140 is an abundant number, since it is smaller than the sum of its proper divisors (25006554860).

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

15212645140 is a wasteful number, since it uses less digits than its factorization.

15212645140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 15212645140 in words is "fifteen billion, two hundred twelve million, six hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 719 770 847 1210 1249 1438 1540 1694 2420 2498 2876 3388 3595 4235 4996 5033 6245 7190 7909 8470 8743 10066 12490 13739 14380 15818 16940 17486 20132 24980 25165 27478 31636 34972 39545 43715 50330 54956 55363 68695 79090 86999 87430 96173 100660 110726 137390 151129 158180 173998 174860 192346 221452 274780 276815 302258 347996 384692 434995 480865 553630 604516 608993 755645 869990 898031 961730 1057903 1107260 1217986 1511290 1739980 1796062 1923460 2115806 2435972 3022580 3044965 3592124 4231612 4490155 5289515 6089930 6286217 8980310 9878341 10579030 12179860 12572434 17960620 19756682 21158060 25144868 31431085 39513364 49391705 62862170 69148387 98783410 108661751 125724340 138296774 197566820 217323502 276593548 345741935 434647004 543308755 691483870 760632257 1086617510 1382967740 1521264514 2173235020 3042529028 3803161285 7606322570 15212645140