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12660277506114 = 2371725170643351
BaseRepresentation
bin1011100000111011001101…
…0101111111000001000010
31122211022101111200201212010
42320032303111333001002
53124411222020143424
642532015020313350
72444450323140660
oct270166325770102
948738344621763
1012660277506114
114041214665957
1215057913a2856
1370ab2242a774
1431aa91511c30
1516e4c9a5a229
hexb83b357f042

12660277506114 has 64 divisors (see below), whose sum is σ = 30762071488512. Its totient is φ = 3390880800000.

The previous prime is 12660277506113. The next prime is 12660277506119. The reversal of 12660277506114 is 41160577206621.

12660277506114 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-2 number, since 2×126602775061142 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12660277506113) 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, 35142462 + ... + 35500889.

It is an arithmetic number, because the mean of its divisors is an integer number (480657367008).

Almost surely, 212660277506114 is an apocalyptic number.

12660277506114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12660277506114 is an abundant number, since it is smaller than the sum of its proper divisors (18101793982398).

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

12660277506114 is a wasteful number, since it uses less digits than its factorization.

12660277506114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70643631.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 12660277506114 in words is "twelve trillion, six hundred sixty billion, two hundred seventy-seven million, five hundred six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 251 357 502 714 753 1506 1757 3514 4267 5271 8534 10542 12801 25602 29869 59738 89607 179214 70643351 141286702 211930053 423860106 494503457 989006914 1200936967 1483510371 2401873934 2967020742 3602810901 7205621802 8406558769 16813117538 17731481101 25219676307 35462962202 50439352614 53194443303 106388886606 124120367707 248240735414 301435178717 372361103121 602870357434 744722206242 904305536151 1808611072302 2110046251019 4220092502038 6330138753057 12660277506114