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12445115712 = 263475326021
BaseRepresentation
bin10111001011100100…
…10110010101000000
31012010022200101022120
423211302112111000
5200441422200322
65414530004240
7620254511121
oct134562262500
935108611276
1012445115712
115306a416a7
1224b3a16680
1312344412c3
14860ba8048
154cc896a5c
hex2e5c96540

12445115712 has 112 divisors (see below), whose sum is σ = 34264104192. Its totient is φ = 3983349760.

The previous prime is 12445115707. The next prime is 12445115719. The reversal of 12445115712 is 21751154421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12445115719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465262 + ... + 491282.

Almost surely, 212445115712 is an apocalyptic number.

12445115712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12445115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132052096).

12445115712 is an abundant number, since it is smaller than the sum of its proper divisors (21818988480).

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

12445115712 is a wasteful number, since it uses less digits than its factorization.

12445115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26136 (or 26126 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The spelling of 12445115712 in words is "twelve billion, four hundred forty-five million, one hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 64 94 96 106 141 159 188 192 212 282 318 376 424 564 636 752 848 1128 1272 1504 1696 2256 2491 2544 3008 3392 4512 4982 5088 7473 9024 9964 10176 14946 19928 26021 29892 39856 52042 59784 78063 79712 104084 119568 156126 159424 208168 239136 312252 416336 478272 624504 832672 1222987 1249008 1379113 1665344 2445974 2498016 2758226 3668961 4137339 4891948 4996032 5516452 7337922 8274678 9783896 11032904 14675844 16549356 19567792 22065808 29351688 33098712 39135584 44131616 58703376 64818311 66197424 78271168 88263232 117406752 129636622 132394848 194454933 234813504 259273244 264789696 388909866 518546488 777819732 1037092976 1555639464 2074185952 3111278928 4148371904 6222557856 12445115712