Search a number
-
+
12093511444 = 2272292127641
BaseRepresentation
bin10110100001101010…
…00101011100010100
31011012211002000221021
423100311011130110
5144231414331234
65320005530524
7605455102600
oct132065053424
934184060837
1012093511444
115146521163
122416113a44
1311a9645b41
1482a200500
154aba929b4
hex2d0d45714

12093511444 has 36 divisors (see below), whose sum is σ = 25467874740. Its totient is φ = 5004209280.

The previous prime is 12093511429. The next prime is 12093511447. The reversal of 12093511444 is 44411539021.

It can be written as a sum of positive squares in 2 ways, for example, as 3640915600 + 8452595844 = 60340^2 + 91938^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12093511447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1058137 + ... + 1069504.

It is an arithmetic number, because the mean of its divisors is an integer number (707440965).

Almost surely, 212093511444 is an apocalyptic number.

12093511444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12093511444 is an abundant number, since it is smaller than the sum of its proper divisors (13374363296).

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

12093511444 is a wasteful number, since it uses less digits than its factorization.

12093511444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127688 (or 2127679 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 12093511444 in words is "twelve billion, ninety-three million, five hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 5684 2127641 4255282 8510564 14893487 29786974 59573948 61701589 104254409 123403178 208508818 246806356 417017636 431911123 863822246 1727644492 3023377861 6046755722 12093511444