Base | Representation |
---|---|
bin | 1001100001001111100… |
… | …1011111011010010000 |
3 | 120122010120020122001011 |
4 | 2120103321133122100 |
5 | 10134413401021331 |
6 | 203044101220304 |
7 | 14546511060100 |
oct | 2302371373220 |
9 | 518116218034 |
10 | 163542595216 |
11 | 633a3593400 |
12 | 27842101694 |
13 | 1256419b100 |
14 | 7cb61dd200 |
15 | 43c29b03b1 |
hex | 2613e5f690 |
163542595216 has 405 divisors, whose sum is σ = 443101254939. Its totient is φ = 58234176000.
The previous prime is 163542595201. The next prime is 163542595277. The reversal of 163542595216 is 612595245361.
It is a happy number.
The square root of 163542595216 is 404404.
It is a perfect power (a square), and thus also a powerful number.
163542595216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 6168531600 + 157374063616 = 78540^2 + 396704^2 .
It is a Harshad number since it is a multiple of its sum of digits (49).
It is a self number, because there is not a number n which added to its sum of digits gives 163542595216.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1619233566 + ... + 1619233666.
Almost surely, 2163542595216 is an apocalyptic number.
163542595216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
163542595216 is the 404404-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 163542595216
163542595216 is an abundant number, since it is smaller than the sum of its proper divisors (279558659723).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163542595216 is a wasteful number, since it uses less digits than its factorization.
163542595216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 272 (or 134 counting only the distinct ones).
The product of its digits is 1944000, while the sum is 49.
Multiplying 163542595216 by its sum of digits (49), we get a square (8013587165584 = 28308282).
163542595216 divided by its sum of digits (49) gives a square (3337603984 = 577722).
The spelling of 163542595216 in words is "one hundred sixty-three billion, five hundred forty-two million, five hundred ninety-five thousand, two hundred sixteen".
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