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12396442905 = 3457113112823
BaseRepresentation
bin10111000101110001…
…01011010100011001
31011222221002112210000
423202320223110121
5200341442133110
65410030443213
7616124011650
oct134270532431
934887075700
1012396442905
115291518040
12249b663509
13122732c022
14858538197
154c84801c0
hex2e2e2b519

12396442905 has 160 divisors (see below), whose sum is σ = 28601008128. Its totient is φ = 4985193600.

The previous prime is 12396442879. The next prime is 12396442913. The reversal of 12396442905 is 50924469321.

12396442905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12396442905 - 25 = 12396442873 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 960324 + ... + 973146.

Almost surely, 212396442905 is an apocalyptic number.

12396442905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12396442905 is an abundant number, since it is smaller than the sum of its proper divisors (16204565223).

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

12396442905 is a wasteful number, since it uses less digits than its factorization.

12396442905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12396442905 in words is "twelve billion, three hundred ninety-six million, four hundred forty-two thousand, nine hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 31 33 35 45 55 63 77 81 93 99 105 135 155 165 189 217 231 279 297 315 341 385 405 465 495 567 651 693 837 891 945 1023 1085 1155 1395 1485 1705 1953 2079 2387 2511 2835 3069 3255 3465 4185 4455 5115 5859 6237 7161 9207 9765 10395 11935 12555 12823 15345 17577 21483 27621 29295 31185 35805 38469 46035 64115 64449 87885 89761 107415 115407 138105 141053 192345 193347 269283 322245 346221 397513 423159 448805 577035 705265 807849 966735 987371 1038663 1192539 1269477 1346415 1731105 1987565 2115795 2423547 2782591 2962113 3577617 3808431 4039245 4372643 4936855 5193315 5962695 6347385 7270641 8347773 8886339 10732851 11425293 12117735 13117929 13912955 14810565 17888085 19042155 21863215 25043319 26659017 30608501 32198553 36353205 39353787 41738865 44431695 53664255 57126465 65589645 75129957 79977051 91825503 118061361 125216595 133295085 153042505 160992765 196768935 225389871 275476509 354184083 375649785 399885255 459127515 590306805 826429527 1126949355 1377382545 1770920415 2479288581 4132147635 12396442905