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12706117427460 = 22351151183986641
BaseRepresentation
bin1011100011100101111110…
…0111011010000100000100
31122222200201011121000101210
42320321133213122010010
53131134112030134320
643005035413051420
72450662302062352
oct270713747320404
948880634530353
1012706117427460
1140596a8049276
121512645026b70
1371224935b592
1431cd9d53c7d2
151707ae0a90e0
hexb8e5f9da104

12706117427460 has 48 divisors (see below), whose sum is σ = 35608038746112. Its totient is φ = 3385354176000.

The previous prime is 12706117427401. The next prime is 12706117427467. The reversal of 12706117427460 is 6472471160721.

It is a happy number.

12706117427460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×127061174274603 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12706117427467) 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, 91924261 + ... + 92062380.

It is an arithmetic number, because the mean of its divisors is an integer number (741834140544).

Almost surely, 212706117427460 is an apocalyptic number.

12706117427460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12706117427460 is an abundant number, since it is smaller than the sum of its proper divisors (22901921318652).

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

12706117427460 is a wasteful number, since it uses less digits than its factorization.

12706117427460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183987804 (or 183987802 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 12706117427460 in words is "twelve trillion, seven hundred six billion, one hundred seventeen million, four hundred twenty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1151 2302 3453 4604 5755 6906 11510 13812 17265 23020 34530 69060 183986641 367973282 551959923 735946564 919933205 1103919846 1839866410 2207839692 2759799615 3679732820 5519599230 11039198460 211768623791 423537247582 635305871373 847074495164 1058843118955 1270611742746 2117686237910 2541223485492 3176529356865 4235372475820 6353058713730 12706117427460