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34221666126 = 2312766167943
BaseRepresentation
bin11111110111110001…
…010010111101001110
310021022222002202120210
4133313301102331032
51030041221304001
623415441023250
72321021235234
oct376761227516
9107288082523
1034221666126
11135712692aa
126770924b26
1332c4bb86ab
141928dc0954
15d54587dd6
hex7f7c52f4e

34221666126 has 32 divisors (see below), whose sum is σ = 69087633408. Its totient is φ = 11300113440.

The previous prime is 34221666119. The next prime is 34221666151. The reversal of 34221666126 is 62166612243.

It is a super-2 number, since 2×342216661262 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469711 + ... + 537653.

It is an arithmetic number, because the mean of its divisors is an integer number (2158988544).

Almost surely, 234221666126 is an apocalyptic number.

34221666126 is an abundant number, since it is smaller than the sum of its proper divisors (34865967282).

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

34221666126 is a wasteful number, since it uses less digits than its factorization.

34221666126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68736.

The product of its digits is 124416, while the sum is 39.

The spelling of 34221666126 in words is "thirty-four billion, two hundred twenty-one million, six hundred sixty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 127 254 381 661 762 1322 1983 3966 67943 83947 135886 167894 203829 251841 407658 503682 8628761 17257522 25886283 44910323 51772566 89820646 134730969 269461938 5703611021 11407222042 17110833063 34221666126