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12093387670 = 257313367739
BaseRepresentation
bin10110100001101001…
…00111001110010110
31011012210211202011001
423100310213032112
5144231401401140
65320003133514
7605454046000
oct132064471626
934183752131
1012093387670
115146447171
12241607429a
1311a96016c0
1482a1ab370
154aba6ae9a
hex2d0d27396

12093387670 has 128 divisors (see below), whose sum is σ = 27449856000. Its totient is φ = 3811764096.

The previous prime is 12093387659. The next prime is 12093387673. The reversal of 12093387670 is 7678339021.

It is a happy number.

12093387670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12093387670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12093387673) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16364161 + ... + 16364899.

It is an arithmetic number, because the mean of its divisors is an integer number (214452000).

Almost surely, 212093387670 is an apocalyptic number.

12093387670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12093387670 is an abundant number, since it is smaller than the sum of its proper divisors (15356468330).

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

12093387670 is a wasteful number, since it uses less digits than its factorization.

12093387670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 12093387670 in words is "twelve billion, ninety-three million, three hundred eighty-seven thousand, six hundred seventy".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 343 367 455 490 637 686 734 739 910 1274 1478 1715 1835 2569 3185 3430 3670 3695 4459 4771 5138 5173 6370 7390 8918 9542 9607 10346 12845 17983 19214 22295 23855 25690 25865 33397 35966 36211 44590 47710 48035 51730 66794 67249 72422 89915 96070 125881 134498 166985 179830 181055 233779 251762 253477 271213 333970 336245 362110 467558 470743 506954 542426 629405 672490 941486 1168895 1258810 1267385 1356065 1636453 1898491 2337790 2353715 2534770 2712130 3272906 3295201 3525769 3796982 4707430 6590402 7051538 8182265 9492455 13289437 16364530 16476005 17628845 18984910 24680383 26578874 32952010 35257690 49360766 66447185 93026059 123401915 132894370 172762681 186052118 246803830 345525362 465130295 863813405 930260590 1209338767 1727626810 2418677534 6046693835 12093387670