Search a number
-
+
12241947792 = 2431717386719
BaseRepresentation
bin10110110011010110…
…10100110010010000
31011121011101101022210
423121223110302100
5200032414312132
65342431232120
7612236560614
oct133153246220
934534341283
1012241947792
115212295628
122457978640
1312013180b9
14841bdd344
154b9b13bcc
hex2d9ad4c90

12241947792 has 80 divisors (see below), whose sum is σ = 33679272960. Its totient is φ = 3818366976.

The previous prime is 12241947743. The next prime is 12241947793. The reversal of 12241947792 is 29774914221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12241947793) 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, 97809 + ... + 184527.

It is an arithmetic number, because the mean of its divisors is an integer number (420990912).

Almost surely, 212241947792 is an apocalyptic number.

12241947792 is a gapful number since it is divisible by the number (12) 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 12241947792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839636480).

12241947792 is an abundant number, since it is smaller than the sum of its proper divisors (21437325168).

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

12241947792 is a wasteful number, since it uses less digits than its factorization.

12241947792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86920 (or 86914 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 12241947792 in words is "twelve billion, two hundred forty-one million, nine hundred forty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 173 204 272 346 408 519 692 816 1038 1384 2076 2768 2941 4152 5882 8304 8823 11764 17646 23528 35292 47056 70584 86719 141168 173438 260157 346876 520314 693752 1040628 1387504 1474223 2081256 2948446 4162512 4422669 5896892 8845338 11793784 15002387 17690676 23587568 30004774 35381352 45007161 60009548 70762704 90014322 120019096 180028644 240038192 255040579 360057288 510081158 720114576 765121737 1020162316 1530243474 2040324632 3060486948 4080649264 6120973896 12241947792