| Base | Representation |
|---|---|
| bin | 1111110110101000011010… |
| … | …00010010001001000000000 |
| 3 | 11120102211010100112120201200 |
| 4 | 13323110031002101020000 |
| 5 | 14032141313332133442 |
| 6 | 202051332524501200 |
| 7 | 10225505314441560 |
| oct | 773241502211000 |
| 9 | 146384110476650 |
| 10 | 34862468239872 |
| 11 | 101210a9505639 |
| 12 | 3ab06b60aa800 |
| 13 | 165b6941007a0 |
| 14 | 8874d1248da0 |
| 15 | 406cbd32e34c |
| hex | 1fb50d091200 |
34862468239872 has 960 divisors, whose sum is σ = 125129575194624. Its totient is φ = 9098731192320.
The previous prime is 34862468239849. The next prime is 34862468239891. The reversal of 34862468239872 is 27893286426843.
34862468239872 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 2 + 468 + 2 + 3 + 98 + 72 = 666.
It is a super-3 number, since 3×348624682398723 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 34862468239872.
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, 32858122222 + ... + 32858123282.
Almost surely, 234862468239872 is an apocalyptic number.
34862468239872 is a gapful number since it is divisible by the number (32) 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 34862468239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62564787597312).
34862468239872 is an abundant number, since it is smaller than the sum of its proper divisors (90267106954752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34862468239872 is a wasteful number, since it uses less digits than its factorization.
34862468239872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1849 (or 1830 counting only the distinct ones).
The product of its digits is 1337720832, while the sum is 72.
The spelling of 34862468239872 in words is "thirty-four trillion, eight hundred sixty-two billion, four hundred sixty-eight million, two hundred thirty-nine thousand, eight hundred seventy-two".
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