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12144904695 = 345711389447
BaseRepresentation
bin10110100111110010…
…01000100111110111
31011100101210002020000
423103321020213313
5144333043422240
65325043242343
7606650662260
oct132371104767
934311702200
1012144904695
115172533720
12242b3793b3
1311b719b451
14832d7b967
154b1345430
hex2d3e489f7

12144904695 has 80 divisors (see below), whose sum is σ = 27142967808. Its totient is φ = 5047220160.

The previous prime is 12144904663. The next prime is 12144904697. The reversal of 12144904695 is 59640944121.

It is not a de Polignac number, because 12144904695 - 25 = 12144904663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12144904695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144904697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163539 + ... + 225908.

Almost surely, 212144904695 is an apocalyptic number.

12144904695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12144904695 is an abundant number, since it is smaller than the sum of its proper divisors (14998063113).

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

12144904695 is a wasteful number, since it uses less digits than its factorization.

12144904695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389482 (or 389473 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12144904695 in words is "twelve billion, one hundred forty-four million, nine hundred four thousand, six hundred ninety-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10395 31185 389447 1168341 1947235 2726129 3505023 4283917 5841705 8178387 10515069 12851751 13630645 17525115 21419585 24535161 29987419 31545207 38555253 40891935 52575345 64258755 73605483 89962257 115665759 122675805 149937095 157726035 192776265 220816449 269886771 346997277 368027415 449811285 578328795 809660313 1104082245 1349433855 1734986385 2428980939 4048301565 12144904695