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2212680666429 = 32262619361921
BaseRepresentation
bin100000001100101110000…
…010111000110100111101
321211112022112001010121200
4200030232002320310331
5242223032222311204
64412254053450113
7315601201225032
oct40145602706475
97745275033550
102212680666429
117834356083a2
122b89ba340939
13130868a4845c
1479146b33389
153c854826539
hex2032e0b8d3d

2212680666429 has 12 divisors (see below), whose sum is σ = 3196216342332. Its totient is φ = 1475064115200.

The previous prime is 2212680666349. The next prime is 2212680666503. The reversal of 2212680666429 is 9246660862122.

It can be written as a sum of positive squares in 2 ways, for example, as 206477542404 + 2006203124025 = 454398^2 + 1416405^2 .

It is not a de Polignac number, because 2212680666429 - 29 = 2212680665917 is a prime.

It is a super-2 number, since 2×22126806664292 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212680666929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4444612 + ... + 4917309.

It is an arithmetic number, because the mean of its divisors is an integer number (266351361861).

Almost surely, 22212680666429 is an apocalyptic number.

It is an amenable number.

2212680666429 is a deficient number, since it is larger than the sum of its proper divisors (983535675903).

2212680666429 is a wasteful number, since it uses less digits than its factorization.

2212680666429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388188 (or 9388185 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2212680666429 in words is "two trillion, two hundred twelve billion, six hundred eighty million, six hundred sixty-six thousand, four hundred twenty-nine".

Divisors: 1 3 9 26261 78783 236349 9361921 28085763 84257289 245853407381 737560222143 2212680666429