| Base | Representation |
|---|---|
| bin | 10000011110011101101100… |
| … | …10000111010011000000000 |
| 3 | 11202021122211010212202211200 |
| 4 | 20033032312100322120000 |
| 5 | 14222102301344402410 |
| 6 | 205020201335541200 |
| 7 | 10426416415261500 |
| oct | 1017166620723000 |
| 9 | 152248733782750 |
| 10 | 36231107028480 |
| 11 | 105a9587413601 |
| 12 | 40919b852a800 |
| 13 | 172a76a625130 |
| 14 | 8d3848713a00 |
| 15 | 42c6c30d33c0 |
| hex | 20f3b643a600 |
36231107028480 has 2880 divisors, whose sum is σ = 169555419633600. Its totient is φ = 7063165992960.
The previous prime is 36231107028443. The next prime is 36231107028503. The reversal of 36231107028480 is 8482070113263.
36231107028480 is a `hidden beast` number, since 3 + 62 + 3 + 1 + 107 + 0 + 2 + 8 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a super-3 number, since 3×362311070284803 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 287 ways as a sum of consecutive naturals, for example, 11432976336 + ... + 11432979504.
It is an arithmetic number, because the mean of its divisors is an integer number (58873409595).
Almost surely, 236231107028480 is an apocalyptic number.
36231107028480 is a gapful number since it is divisible by the number (30) 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 36231107028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84777709816800).
36231107028480 is an abundant number, since it is smaller than the sum of its proper divisors (133324312605120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36231107028480 is a wasteful number, since it uses less digits than its factorization.
36231107028480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3285 (or 3259 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The spelling of 36231107028480 in words is "thirty-six trillion, two hundred thirty-one billion, one hundred seven million, twenty-eight thousand, four hundred eighty".
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