Base | Representation |
---|---|
bin | 1101101110100100101… |
… | …0110001001000000000 |
3 | 211112202002211211210010 |
4 | 3123221022301020000 |
5 | 12331000034213333 |
6 | 300202104504520 |
7 | 23016224116215 |
oct | 3335112611000 |
9 | 745662754703 |
10 | 235840147968 |
11 | 910236848a7 |
12 | 3985a47b140 |
13 | 19316611a19 |
14 | b5b4007b0c |
15 | 6204b5c563 |
hex | 36e92b1200 |
235840147968 has 160 divisors (see below), whose sum is σ = 634075041600. Its totient is φ = 77892304896.
The previous prime is 235840147951. The next prime is 235840147981. The reversal of 235840147968 is 869741048532.
It is a happy number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165037878 + ... + 165039306.
It is an arithmetic number, because the mean of its divisors is an integer number (3962969010).
It is a 2-persistent number, because it is pandigital, and so is 2⋅235840147968 = 471680295936, but 3⋅235840147968 = 707520443904 is not.
Almost surely, 2235840147968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 235840147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317037520800).
235840147968 is an abundant number, since it is smaller than the sum of its proper divisors (398234893632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235840147968 is a wasteful number, since it uses less digits than its factorization.
235840147968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2362 (or 2346 counting only the distinct ones).
The product of its (nonzero) digits is 11612160, while the sum is 57.
The spelling of 235840147968 in words is "two hundred thirty-five billion, eight hundred forty million, one hundred forty-seven thousand, nine hundred sixty-eight".
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