| Base | Representation |
|---|---|
| bin | 11110000101011100111… |
| … | …001011110111101100000 |
| 3 | 21022122102022001012012000 |
| 4 | 132011130321132331200 |
| 5 | 232333103041423042 |
| 6 | 4221433504004000 |
| 7 | 302240015464065 |
| oct | 36053471367540 |
| 9 | 7278368035160 |
| 10 | 2067437842272 |
| 11 | 727882844930 |
| 12 | 294824900600 |
| 13 | 11cc5cc2845a |
| 14 | 720c90b4c6c |
| 15 | 38ba36d574c |
| hex | 1e15ce5ef60 |
2067437842272 has 192 divisors, whose sum is σ = 6618573400320. Its totient is φ = 622652313600.
The previous prime is 2067437842219. The next prime is 2067437842277. The reversal of 2067437842272 is 2722487347602.
2067437842272 is a `hidden beast` number, since 2 + 0 + 67 + 437 + 84 + 2 + 2 + 72 = 666.
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 Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2067437842277) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 881872 + ... + 2216432.
It is an arithmetic number, because the mean of its divisors is an integer number (34471736460).
Almost surely, 22067437842272 is an apocalyptic number.
2067437842272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2067437842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309286700160).
2067437842272 is an abundant number, since it is smaller than the sum of its proper divisors (4551135558048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2067437842272 is a wasteful number, since it uses less digits than its factorization.
2067437842272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1334754 (or 1334740 counting only the distinct ones).
The product of its (nonzero) digits is 12644352, while the sum is 54.
The spelling of 2067437842272 in words is "two trillion, sixty-seven billion, four hundred thirty-seven million, eight hundred forty-two thousand, two hundred seventy-two".
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