| Base | Representation |
|---|---|
| bin | 10000010010000110001111… |
| … | …011100011110001101000000 |
| 3 | 100101120002010000210011012100 |
| 4 | 100102012033130132031000 |
| 5 | 33341244141430104330 |
| 6 | 412150140344430400 |
| 7 | 21040552640230200 |
| oct | 2022061734361500 |
| 9 | 311502100704170 |
| 10 | 71612396331840 |
| 11 | 208aa712886161 |
| 12 | 8046b66778400 |
| 13 | 30c6034c20330 |
| 14 | 13980b665c400 |
| 15 | 842c09537060 |
| hex | 41218f71e340 |
71612396331840 has 4032 divisors, whose sum is σ = 329628513614400. Its totient is φ = 14120981102592.
The previous prime is 71612396331821. The next prime is 71612396331871. The reversal of 71612396331840 is 4813369321617.
71612396331840 is a `hidden beast` number, since 7 + 1 + 612 + 3 + 9 + 6 + 3 + 3 + 18 + 4 + 0 = 666.
It can be written as a sum of positive squares in 32 ways, for example, as 49576356938304 + 22036039393536 = 7041048^2 + 4694256^2 .
It is a tau number, because it is divible by the number of its divisors (4032).
It is a congruent number.
It is an unprimeable number.
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 575 ways as a sum of consecutive naturals, for example, 307349340364 + ... + 307349340596.
It is an arithmetic number, because the mean of its divisors is an integer number (81753103575).
Almost surely, 271612396331840 is an apocalyptic number.
71612396331840 is a gapful number since it is divisible by the number (70) 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 71612396331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164814256807200).
71612396331840 is an abundant number, since it is smaller than the sum of its proper divisors (258016117282560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71612396331840 is a wasteful number, since it uses less digits than its factorization.
71612396331840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 474 (or 454 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 71612396331840 in words is "seventy-one trillion, six hundred twelve billion, three hundred ninety-six million, three hundred thirty-one thousand, eight hundred forty".
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