| Base | Representation |
|---|---|
| bin | 100110110101010000… |
| … | …1110110101110000000 |
| 3 | 21222020201002011020000 |
| 4 | 1031222201312232000 |
| 5 | 2331241224412100 |
| 6 | 102150512120000 |
| 7 | 6011344142130 |
| oct | 1155241665600 |
| 9 | 258221064200 |
| 10 | 83391638400 |
| 11 | 32403451224 |
| 12 | 141b3836000 |
| 13 | 7b2c9c0a45 |
| 14 | 40713aaac0 |
| 15 | 2281123900 |
| hex | 136a876b80 |
83391638400 has 1920 divisors, whose sum is σ = 385662816000. Its totient is φ = 17318707200.
The previous prime is 83391638303. The next prime is 83391638401. The reversal of 83391638400 is 483619338.
83391638400 is a `hidden beast` number, since 8 + 3 + 3 + 9 + 1 + 638 + 4 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-3 number, since 3×833916384003 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (83391638401) 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 239 ways as a sum of consecutive naturals, for example, 1413417571 + ... + 1413417629.
It is an arithmetic number, because the mean of its divisors is an integer number (200866050).
Almost surely, 283391638400 is an apocalyptic number.
83391638400 is a gapful number since it is divisible by the number (80) 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 83391638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192831408000).
83391638400 is an abundant number, since it is smaller than the sum of its proper divisors (302271177600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83391638400 is a wasteful number, since it uses less digits than its factorization.
83391638400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 373248, while the sum is 45.
The spelling of 83391638400 in words is "eighty-three billion, three hundred ninety-one million, six hundred thirty-eight thousand, four hundred".
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