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12435112494 = 233728595471
BaseRepresentation
bin10111001010011000…
…01100001000101110
31012002121212011111000
423211030030020232
5200431342044434
65413531341130
7620103466200
oct134514141056
935077764430
1012435112494
11530132a082
1224b05b17a6
13123234b13c
1485d722770
154cba6cb99
hex2e530c22e

12435112494 has 96 divisors (see below), whose sum is σ = 32188492800. Its totient is φ = 3548104560.

The previous prime is 12435112493. The next prime is 12435112537. The reversal of 12435112494 is 49421153421.

12435112494 is a `hidden beast` number, since 1 + 24 + 35 + 112 + 494 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435112493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270179 + ... + 2275649.

It is an arithmetic number, because the mean of its divisors is an integer number (335296800).

Almost surely, 212435112494 is an apocalyptic number.

12435112494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12435112494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094246400).

12435112494 is an abundant number, since it is smaller than the sum of its proper divisors (19753380306).

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

12435112494 is a wasteful number, since it uses less digits than its factorization.

12435112494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6342 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12435112494 in words is "twelve billion, four hundred thirty-five million, one hundred twelve thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 859 882 1323 1718 2577 2646 5154 5471 6013 7731 10942 12026 15462 16413 18039 23193 32826 36078 38297 42091 46386 49239 54117 76594 84182 98478 108234 114891 126273 147717 162351 229782 252546 268079 295434 324702 344673 378819 536158 689346 757638 804237 1034019 1136457 1608474 2068038 2272914 2412711 4699589 4825422 7238133 9399178 14098767 14476266 28197534 32897123 42296301 65794246 84592602 98691369 126888903 197382738 230279861 253777806 296074107 460559722 592148214 690839583 888222321 1381679166 1776444642 2072518749 4145037498 6217556247 12435112494