Search a number
-
+
12193712780 = 2254289142151
BaseRepresentation
bin10110101101100110…
…10100101010001100
31011110210121210022212
423112303110222030
5144433042302110
65333545325552
7611112564014
oct132663245214
934423553285
1012193712780
11519803a987
1224437968b8
1311c432a182
14839644c44
154b5786e05
hex2d6cd4a8c

12193712780 has 24 divisors (see below), whose sum is σ = 25612947360. Its totient is φ = 4876313600.

The previous prime is 12193712777. The next prime is 12193712827. The reversal of 12193712780 is 8721739121.

It is a happy number.

12193712780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121937127802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14705 + ... + 156855.

It is an arithmetic number, because the mean of its divisors is an integer number (1067206140).

Almost surely, 212193712780 is an apocalyptic number.

12193712780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12193712780 is an abundant number, since it is smaller than the sum of its proper divisors (13419234580).

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

12193712780 is a wasteful number, since it uses less digits than its factorization.

12193712780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146449 (or 146447 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 12193712780 in words is "twelve billion, one hundred ninety-three million, seven hundred twelve thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 4289 8578 17156 21445 42890 85780 142151 284302 568604 710755 1421510 2843020 609685639 1219371278 2438742556 3048428195 6096856390 12193712780