| Base | Representation |
|---|---|
| bin | 10100110011110101101100… |
| … | …11000010010000000000000 |
| 3 | 20000000202210110200121010000 |
| 4 | 22121322312120102000000 |
| 5 | 21444224320143440310 |
| 6 | 241154335143040000 |
| 7 | 12432112063565010 |
| oct | 1231726630220000 |
| 9 | 200022713617100 |
| 10 | 45761641390080 |
| 11 | 13643448619a10 |
| 12 | 5170ab5140000 |
| 13 | 1c6c3c5621075 |
| 14 | b42c37a05c40 |
| 15 | 545572dc14c0 |
| hex | 299eb6612000 |
45761641390080 has 4480 divisors, whose sum is σ = 222711573579264. Its totient is φ = 8697308774400.
The previous prime is 45761641390051. The next prime is 45761641390109. The reversal of 45761641390080 is 8009314616754.
45761641390080 is a `hidden beast` number, since 4 + 5 + 7 + 61 + 6 + 413 + 90 + 0 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (45761641390051) and next prime (45761641390109).
It is a tau number, because it is divible by the number of its divisors (4480).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 45761641389999 and 45761641390026.
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 319 ways as a sum of consecutive naturals, for example, 178060861312 + ... + 178060861568.
Almost surely, 245761641390080 is an apocalyptic number.
45761641390080 is a gapful number since it is divisible by the number (40) 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 45761641390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111355786789632).
45761641390080 is an abundant number, since it is smaller than the sum of its proper divisors (176949932189184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45761641390080 is a wasteful number, since it uses less digits than its factorization.
45761641390080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 376 (or 343 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 45761641390080 in words is "forty-five trillion, seven hundred sixty-one billion, six hundred forty-one million, three hundred ninety thousand, eighty".
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