| Base | Representation |
|---|---|
| bin | 110001010010001111000… |
| … | …010010001111101000000 |
| 3 | 102222210000021121222012200 |
| 4 | 301102033002101331000 |
| 5 | 420442213444001320 |
| 6 | 11111520125553200 |
| 7 | 466455621512001 |
| oct | 61221702217500 |
| 9 | 12883007558180 |
| 10 | 3386833968960 |
| 11 | 1096391532092 |
| 12 | 468483a15800 |
| 13 | 1b74b9576920 |
| 14 | b9cd06711a8 |
| 15 | 5d175341290 |
| hex | 3148f091f40 |
3386833968960 has 672 divisors, whose sum is σ = 13294708670880. Its totient is φ = 785291673600.
The previous prime is 3386833968953. The next prime is 3386833968997. The reversal of 3386833968960 is 698693386833.
3386833968960 is a `hidden beast` number, since 3 + 3 + 86 + 83 + 396 + 89 + 6 + 0 = 666.
It can be written as a sum of positive squares in 16 ways, for example, as 3044159541504 + 342674427456 = 1744752^2 + 585384^2 .
It is a super-2 number, since 2×33868339689602 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 44478120 + ... + 44554200.
It is an arithmetic number, because the mean of its divisors is an integer number (19783792665).
Almost surely, 23386833968960 is an apocalyptic number.
3386833968960 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 3386833968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647354335440).
3386833968960 is an abundant number, since it is smaller than the sum of its proper divisors (9907874701920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3386833968960 is a wasteful number, since it uses less digits than its factorization.
3386833968960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76187 (or 76174 counting only the distinct ones).
The product of its (nonzero) digits is 725594112, while the sum is 72.
The spelling of 3386833968960 in words is "three trillion, three hundred eighty-six billion, eight hundred thirty-three million, nine hundred sixty-eight thousand, nine hundred sixty".
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