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12340677681 = 3211317370141
BaseRepresentation
bin10110111111000111…
…11100110000110001
31011212001011101021100
423133203330300301
5200233203141211
65400315315013
7614546013063
oct133743746061
934761141240
1012340677681
115262a99882
122484a4ba69
131218905757
14850d7d733
154c3617156
hex2df8fcc31

12340677681 has 24 divisors (see below), whose sum is σ = 18087377256. Its totient is φ = 8107061760.

The previous prime is 12340677653. The next prime is 12340677697. The reversal of 12340677681 is 18677604321.

It can be written as a sum of positive squares in 4 ways, for example, as 1980695025 + 10359982656 = 44505^2 + 101784^2 .

It is not a de Polignac number, because 12340677681 - 29 = 12340677169 is a prime.

It is a super-3 number, since 3×123406776813 (a number of 31 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 (12340677581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140871 + ... + 211011.

It is an arithmetic number, because the mean of its divisors is an integer number (753640719).

Almost surely, 212340677681 is an apocalyptic number.

It is an amenable number.

12340677681 is a deficient number, since it is larger than the sum of its proper divisors (5746699575).

12340677681 is a wasteful number, since it uses less digits than its factorization.

12340677681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70433 (or 70430 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12340677681 in words is "twelve billion, three hundred forty million, six hundred seventy-seven thousand, six hundred eighty-one".

Divisors: 1 3 9 113 173 339 519 1017 1557 19549 58647 70141 175941 210423 631269 7925933 12134393 23777799 36403179 71333397 109209537 1371186409 4113559227 12340677681