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12387329136 = 2433713315103
BaseRepresentation
bin10111000100101011…
…11010010001110000
31011222021221112001000
423202111322101300
5200332124013021
65405103242000
7615653363130
oct134225722160
934867845030
1012387329136
1152873627a6
1224985a9300
13122548a970
14857244ac0
154c777eb26
hex2e257a470

12387329136 has 160 divisors (see below), whose sum is σ = 43761643520. Its totient is φ = 3266977536.

The previous prime is 12387329081. The next prime is 12387329137. The reversal of 12387329136 is 63192378321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12387329091 and 12387329100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12387329137) 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, 118240 + ... + 196863.

It is an arithmetic number, because the mean of its divisors is an integer number (273510272).

Almost surely, 212387329136 is an apocalyptic number.

12387329136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12387329136 is an abundant number, since it is smaller than the sum of its proper divisors (31374314384).

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

12387329136 is a wasteful number, since it uses less digits than its factorization.

12387329136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315140 (or 315128 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 12387329136 in words is "twelve billion, three hundred eighty-seven million, three hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 315103 630206 945309 1260412 1890618 2205721 2520824 2835927 3781236 4096339 4411442 5041648 5671854 6617163 7562472 8192678 8507781 8822884 11343708 12289017 13234326 15124944 16385356 17015562 17645768 19851489 22687416 24578034 26468652 28674373 32770712 34031124 35291536 36867051 39702978 45374832 49156068 52937304 57348746 59554467 65541424 68062248 73734102 79405956 86023119 98312136 105874608 110601153 114697492 119108934 136124496 147468204 158811912 172046238 196624272 221202306 229394984 238217868 258069357 294936408 317623824 344092476 442404612 458789968 476435736 516138714 589872816 688184952 774208071 884809224 952871472 1032277428 1376369904 1548416142 1769618448 2064554856 3096832284 4129109712 6193664568 12387329136