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12665239920 = 2433516735111
BaseRepresentation
bin10111100101110100…
…00011100101110000
31012200122212211222000
423302322003211300
5201414300134140
65452432014000
7625566522504
oct136272034560
935618784860
1012665239920
11540a21a233
122555691300
13126ac23408
14882108304
154e1d78a30
hex2f2e83970

12665239920 has 160 divisors (see below), whose sum is σ = 43887191040. Its totient is φ = 3357077760.

The previous prime is 12665239907. The next prime is 12665239927. The reversal of 12665239920 is 2993256621.

12665239920 is a `hidden beast` number, since 12 + 6 + 6 + 523 + 99 + 20 = 666.

12665239920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12665239927) 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 31 ways as a sum of consecutive naturals, for example, 343165 + ... + 378275.

It is an arithmetic number, because the mean of its divisors is an integer number (274294944).

Almost surely, 212665239920 is an apocalyptic number.

12665239920 is a gapful number since it is divisible by the number (10) 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 12665239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943595520).

12665239920 is an abundant number, since it is smaller than the sum of its proper divisors (31221951120).

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

12665239920 is a wasteful number, since it uses less digits than its factorization.

12665239920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35300 (or 35288 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 12665239920 in words is "twelve billion, six hundred sixty-five million, two hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 167 180 216 240 270 334 360 432 501 540 668 720 835 1002 1080 1336 1503 1670 2004 2160 2505 2672 3006 3340 4008 4509 5010 6012 6680 7515 8016 9018 10020 12024 13360 15030 18036 20040 22545 24048 30060 35111 36072 40080 45090 60120 70222 72144 90180 105333 120240 140444 175555 180360 210666 280888 315999 351110 360720 421332 526665 561776 631998 702220 842664 947997 1053330 1263996 1404440 1579995 1685328 1895994 2106660 2527992 2808880 3159990 3791988 4213320 4739985 5055984 5863537 6319980 7583976 8426640 9479970 11727074 12639960 15167952 17590611 18959940 23454148 25279920 29317685 35181222 37919880 46908296 52771833 58635370 70362444 75839760 87953055 93816592 105543666 117270740 140724888 158315499 175906110 211087332 234541480 263859165 281449776 316630998 351812220 422174664 469082960 527718330 633261996 703624440 791577495 844349328 1055436660 1266523992 1407248880 1583154990 2110873320 2533047984 3166309980 4221746640 6332619960 12665239920