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12144612636 = 22331343201163
BaseRepresentation
bin10110100111110000…
…00001010100011100
31011100101020020121000
423103320001110130
5144333010101021
65325033110300
7606645334632
oct132370012434
934311206530
1012144612636
115172354252
12242b258390
1311b70c8530
14832d03352
154b12d8b26
hex2d3e0151c

12144612636 has 96 divisors (see below), whose sum is σ = 34696766720. Its totient is φ = 3649883328.

The previous prime is 12144612631. The next prime is 12144612673. The reversal of 12144612636 is 63621644121.

12144612636 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 6 + 12 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12144612636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144612631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40210 + ... + 160953.

Almost surely, 212144612636 is an apocalyptic number.

It is an amenable number.

12144612636 is an abundant number, since it is smaller than the sum of its proper divisors (22552154084).

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

12144612636 is a wasteful number, since it uses less digits than its factorization.

12144612636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201232 (or 201224 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 12144612636 in words is "twelve billion, one hundred forty-four million, six hundred twelve thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 86 108 117 129 156 172 234 258 351 387 468 516 559 702 774 1118 1161 1404 1548 1677 2236 2322 3354 4644 5031 6708 10062 15093 20124 30186 60372 201163 402326 603489 804652 1206978 1810467 2413956 2615119 3620934 5230238 5431401 7241868 7845357 8650009 10460476 10862802 15690714 17300018 21725604 23536071 25950027 31381428 34600036 47072142 51900054 70608213 77850081 94144284 103800108 112450117 141216426 155700162 224900234 233550243 282432852 311400324 337350351 449800468 467100486 674700702 934200972 1012051053 1349401404 2024102106 3036153159 4048204212 6072306318 12144612636