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12334104470184 = 2337739337107713
BaseRepresentation
bin1011001101111100000111…
…1010100110001010101000
31121200010110221120201111220
42303133001322212022220
53104040221221021214
642122113120222040
72412052415111160
oct263370172461250
947603427521456
1012334104470184
113a25956473352
12147252276a920
136b6141052363
14308d8c3155a0
15165c897179a9
hexb37c1ea62a8

12334104470184 has 128 divisors (see below), whose sum is σ = 35727199952640. Its totient is φ = 3475350945792.

The previous prime is 12334104470123. The next prime is 12334104470189. The reversal of 12334104470184 is 48107440143321.

12334104470184 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 (42).

It is not an unprimeable number, because it can be changed into a prime (12334104470189) 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, 114455112 + ... + 114562824.

It is an arithmetic number, because the mean of its divisors is an integer number (279118749630).

Almost surely, 212334104470184 is an apocalyptic number.

12334104470184 is a gapful number since it is divisible by the number (14) 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 12334104470184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863599976320).

12334104470184 is an abundant number, since it is smaller than the sum of its proper divisors (23393095482456).

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

12334104470184 is a wasteful number, since it uses less digits than its factorization.

12334104470184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117139 (or 117135 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 12334104470184 in words is "twelve trillion, three hundred thirty-four billion, one hundred four million, four hundred seventy thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 9337 12264 18674 28011 37348 56022 65359 74696 107713 112044 130718 196077 215426 224088 261436 323139 392154 430852 522872 646278 681601 753991 784308 861704 1292556 1363202 1507982 1568616 2044803 2261973 2585112 2726404 3015964 4089606 4523946 4771207 5452808 6031928 7863049 8179212 9047892 9542414 14313621 15726098 16358424 18095784 19084828 23589147 28627242 31452196 38169656 47178294 55041343 57254484 62904392 94356588 110082686 114508968 165124029 188713176 220165372 330248058 440330744 660496116 1005716281 1320992232 2011432562 3017148843 4022865124 6034297686 7040013967 8045730248 12068595372 14080027934 21120041901 24137190744 28160055868 42240083802 56320111736 73417288513 84480167604 146834577026 168960335208 220251865539 293669154052 440503731078 513921019591 587338308104 881007462156 1027842039182 1541763058773 1762014924312 2055684078364 3083526117546 4111368156728 6167052235092 12334104470184