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67228738121 = 2953614491597
BaseRepresentation
bin111110100111001001…
…010010001001001001
320102112021201202020202
4332213021102021021
52100141024104441
650515013101545
74566663562646
oct764711221111
9212467652222
1067228738121
1126569962aa6
12110429278b5
13645526cc1c
14337a952dcd
151b371a119b
hexfa7252249

67228738121 has 32 divisors (see below), whose sum is σ = 72226404000. Its totient is φ = 62463098880.

The previous prime is 67228738117. The next prime is 67228738147. The reversal of 67228738121 is 12183782276.

It can be written as a sum of positive squares in 16 ways, for example, as 26102926096 + 41125812025 = 161564^2 + 202795^2 .

It is a cyclic number.

It is not a de Polignac number, because 67228738121 - 22 = 67228738117 is a prime.

It is a super-2 number, since 2×672287381212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67228734121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42096095 + ... + 42097691.

It is an arithmetic number, because the mean of its divisors is an integer number (2257075125).

Almost surely, 267228738121 is an apocalyptic number.

67228738121 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

67228738121 is a deficient number, since it is larger than the sum of its proper divisors (4997665879).

67228738121 is a wasteful number, since it uses less digits than its factorization.

67228738121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189.

The product of its digits is 451584, while the sum is 47.

The spelling of 67228738121 in words is "sixty-seven billion, two hundred twenty-eight million, seven hundred thirty-eight thousand, one hundred twenty-one".

Divisors: 1 29 53 61 449 1537 1597 1769 3233 13021 23797 27389 46313 84641 93757 97417 690113 717053 794281 1451617 2454589 2825093 5163101 20794537 38003809 42096893 43740233 149729929 1102110461 1268466757 2318232349 67228738121