Search a number
-
+
12347661128 = 2311593377057
BaseRepresentation
bin10110111111111101…
…00101101101001000
31011212112022011202112
423133332211231020
5200242000124003
65401125121452
7614662250015
oct133776455510
934775264675
1012347661128
115266a29620
122487259288
13121a1ac27a
14851c7a70c
154c40463d8
hex2dffa5b48

12347661128 has 64 divisors (see below), whose sum is σ = 25764523200. Its totient is φ = 5500293120.

The previous prime is 12347661121. The next prime is 12347661133. The reversal of 12347661128 is 82116674321.

It is not an unprimeable number, because it can be changed into a prime (12347661121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1746176 + ... + 1753232.

It is an arithmetic number, because the mean of its divisors is an integer number (402570675).

Almost surely, 212347661128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12347661128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882261600).

12347661128 is an abundant number, since it is smaller than the sum of its proper divisors (13416862072).

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

12347661128 is a wasteful number, since it uses less digits than its factorization.

12347661128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7466 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The spelling of 12347661128 in words is "twelve billion, three hundred forty-seven million, six hundred sixty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 337 472 649 674 1298 1348 2596 2696 3707 5192 7057 7414 14114 14828 19883 28228 29656 39766 56456 77627 79532 155254 159064 218713 310508 416363 437426 621016 832726 874852 1665452 1749704 2378209 3330904 4579993 4756418 9159986 9512836 18319972 19025672 26160299 36639944 52320598 104641196 140314331 209282392 280628662 561257324 1122514648 1543457641 3086915282 6173830564 12347661128