Base | Representation |
---|---|
bin | 111011110101010111111010… |
… | …100100000011011000100000 |
3 | 1021111202010202000110111201000 |
4 | 323311113322210003120200 |
5 | 233442442413040414124 |
6 | 2331402340450512000 |
7 | 106300100426036121 |
oct | 7365277244033040 |
9 | 1244663660414630 |
10 | 263152555013664 |
11 | 7693740aa28918 |
12 | 2562088a295600 |
13 | b3ab24436b304 |
14 | 48da91a096048 |
15 | 206530640b6c9 |
hex | ef55fa903620 |
263152555013664 has 192 divisors, whose sum is σ = 776933053102080. Its totient is φ = 86643116202240.
The previous prime is 263152555013633. The next prime is 263152555013731. The reversal of 263152555013664 is 466310555251362.
263152555013664 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 5 + 25 + 550 + 1 + 3 + 6 + 64 = 666.
263152555013664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 263152555013664.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355824109 + ... + 356562899.
It is an arithmetic number, because the mean of its divisors is an integer number (4046526318240).
Almost surely, 2263152555013664 is an apocalyptic number.
263152555013664 is a gapful number since it is divisible by the number (24) 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 263152555013664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388466526551040).
263152555013664 is an abundant number, since it is smaller than the sum of its proper divisors (513780498088416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
263152555013664 is a wasteful number, since it uses less digits than its factorization.
263152555013664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 743860 (or 743846 counting only the distinct ones).
The product of its (nonzero) digits is 19440000, while the sum is 54.
The spelling of 263152555013664 in words is "two hundred sixty-three trillion, one hundred fifty-two billion, five hundred fifty-five million, thirteen thousand, six hundred sixty-four".
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