| Base | Representation |
|---|---|
| bin | 100011111000100110111001… |
| … | …1000010000011011111100000 |
| 3 | 1112101121012201021012220210000 |
| 4 | 1013301031303002003133200 |
| 5 | 312333000111044000033 |
| 6 | 3035152321341140000 |
| 7 | 123325323665142420 |
| oct | 10761156302033740 |
| 9 | 1471535637186700 |
| 10 | 315643371468768 |
| 11 | 9163466942aa62 |
| 12 | 2b49997255a600 |
| 13 | 1071807197a885 |
| 14 | 57d3313820480 |
| 15 | 267591d7e6a13 |
| hex | 11f13730837e0 |
315643371468768 has 960 divisors, whose sum is σ = 1171674488033280. Its totient is φ = 81325663027200.
The previous prime is 315643371468727. The next prime is 315643371468811. The reversal of 315643371468768 is 867864173346513.
315643371468768 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 4 + 33 + 71 + 468 + 7 + 68 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 315643371468696 and 315643371468705.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 651653680 + ... + 652137872.
It is an arithmetic number, because the mean of its divisors is an integer number (1220494258368).
Almost surely, 2315643371468768 is an apocalyptic number.
315643371468768 is a gapful number since it is divisible by the number (38) 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 315643371468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585837244016640).
315643371468768 is an abundant number, since it is smaller than the sum of its proper divisors (856031116564512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
315643371468768 is a wasteful number, since it uses less digits than its factorization.
315643371468768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 484333 (or 484316 counting only the distinct ones).
The product of its digits is 1463132160, while the sum is 72.
The spelling of 315643371468768 in words is "three hundred fifteen trillion, six hundred forty-three billion, three hundred seventy-one million, four hundred sixty-eight thousand, seven hundred sixty-eight".
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