Base | Representation |
---|---|
bin | 100001011101000001… |
… | …0110101101001001110 |
3 | 20212102201002220100000 |
4 | 1002322002311221032 |
5 | 2134112220023201 |
6 | 53000405145130 |
7 | 5122165402503 |
oct | 1027202655116 |
9 | 225381086300 |
10 | 71840782926 |
11 | 28516281580 |
12 | 11b0b3bb1a6 |
13 | 6a0b916713 |
14 | 36972a74aa |
15 | 1d07022d86 |
hex | 10ba0b5a4e |
71840782926 has 96 divisors (see below), whose sum is σ = 180190378368. Its totient is φ = 21263588640.
The previous prime is 71840782901. The next prime is 71840782927. The reversal of 71840782926 is 62928704817.
It is a happy number.
71840782926 is a `hidden beast` number, since 71 + 8 + 407 + 82 + 92 + 6 = 666.
It is a super-2 number, since 2×718407829262 (a number of 23 digits) contains 22 as substring.
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 (71840782927) 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 47 ways as a sum of consecutive naturals, for example, 73620 + ... + 386136.
It is an arithmetic number, because the mean of its divisors is an integer number (1876983108).
Almost surely, 271840782926 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 71840782926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90095189184).
71840782926 is an abundant number, since it is smaller than the sum of its proper divisors (108349595442).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71840782926 is a wasteful number, since it uses less digits than its factorization.
71840782926 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 312588 (or 312576 counting only the distinct ones).
The product of its (nonzero) digits is 2709504, while the sum is 54.
The spelling of 71840782926 in words is "seventy-one billion, eight hundred forty million, seven hundred eighty-two thousand, nine hundred twenty-six".
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