| Base | Representation |
|---|---|
| bin | 10011000000000111101100… |
| … | …001111101100101010000000 |
| 3 | 101221220022201120222001102100 |
| 4 | 103000013230033230222000 |
| 5 | 41423212144401410240 |
| 6 | 453424015215550400 |
| 7 | 23413546545115353 |
| oct | 2300075417545200 |
| 9 | 357808646861370 |
| 10 | 83571142216320 |
| 11 | 246a03600a4410 |
| 12 | 945879252b400 |
| 13 | 3782956799775 |
| 14 | 168cc1729429a |
| 15 | 99dd257e5e30 |
| hex | 4c01ec3eca80 |
83571142216320 has 1536 divisors, whose sum is σ = 341385875251200. Its totient is φ = 18617371361280.
The previous prime is 83571142216273. The next prime is 83571142216321. The reversal of 83571142216320 is 2361224117538.
83571142216320 is a `hidden beast` number, since 8 + 3 + 5 + 7 + 1 + 1 + 4 + 2 + 2 + 1 + 632 + 0 = 666.
It is a super-2 number, since 2×835711422163202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (83571142216321) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 15456099057 + ... + 15456104463.
It is an arithmetic number, because the mean of its divisors is an integer number (222256429200).
Almost surely, 283571142216320 is an apocalyptic number.
83571142216320 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 83571142216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170692937625600).
83571142216320 is an abundant number, since it is smaller than the sum of its proper divisors (257814733034880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83571142216320 is a wasteful number, since it uses less digits than its factorization.
83571142216320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5846 (or 5831 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The spelling of 83571142216320 in words is "eighty-three trillion, five hundred seventy-one billion, one hundred forty-two million, two hundred sixteen thousand, three hundred twenty".
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