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12191613224 = 2372916744953
BaseRepresentation
bin10110101101010110…
…10100000100101000
31011110122200010021112
423112223110010220
5144432023110344
65333432325452
7611056000610
oct132653240450
934418603245
1012191613224
11519693650a
122442b43888
1311c3a7362b
14839259a40
154b54bec9e
hex2d6ad4128

12191613224 has 64 divisors (see below), whose sum is σ = 27188179200. Its totient is φ = 5014485504.

The previous prime is 12191613221. The next prime is 12191613229. The reversal of 12191613224 is 42231619121.

It is a super-2 number, since 2×121916132242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12191613221) 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, 248732 + ... + 293684.

It is an arithmetic number, because the mean of its divisors is an integer number (424815300).

Almost surely, 212191613224 is an apocalyptic number.

12191613224 is a gapful number since it is divisible by the number (14) 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 12191613224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594089600).

12191613224 is an abundant number, since it is smaller than the sum of its proper divisors (14996565976).

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

12191613224 is a wasteful number, since it uses less digits than its factorization.

12191613224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45162 (or 45158 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The spelling of 12191613224 in words is "twelve billion, one hundred ninety-one million, six hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 167 203 232 334 406 668 812 1169 1336 1624 2338 4676 4843 9352 9686 19372 33901 38744 44953 67802 89906 135604 179812 271208 314671 359624 629342 1258684 1303637 2517368 2607274 5214548 7507151 9125459 10429096 15014302 18250918 30028604 36501836 52550057 60057208 73003672 105100114 210200228 217707379 420400456 435414758 870829516 1523951653 1741659032 3047903306 6095806612 12191613224