Base | Representation |
---|---|
bin | 101110101010000… |
… | …0011001011001000 |
3 | 11001002211111222200 |
4 | 1131110003023020 |
5 | 11201234140333 |
6 | 415202520200 |
7 | 53536562502 |
oct | 13524031310 |
9 | 4032744880 |
10 | 1565536968 |
11 | 733783106 |
12 | 378366060 |
13 | 1bc45a548 |
14 | 10bcc2d72 |
15 | 92692c13 |
hex | 5d5032c8 |
1565536968 has 36 divisors (see below), whose sum is σ = 4240905435. Its totient is φ = 521733744.
The previous prime is 1565536963. The next prime is 1565536979. The reversal of 1565536968 is 8696355651.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1565536968 is a `hidden beast` number, since 15 + 6 + 5 + 536 + 96 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 782768484 + 782768484 = 27978^2 + 27978^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=27978.
It is not an unprimeable number, because it can be changed into a prime (1565536963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 333405 + ... + 338067.
Almost surely, 21565536968 is an apocalyptic number.
1565536968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
1565536968 is an abundant number, since it is smaller than the sum of its proper divisors (2675368467).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1565536968 is an frugal number, since it uses more digits than its factorization.
1565536968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9338 (or 4668 counting only the distinct ones).
The product of its digits is 5832000, while the sum is 54.
The square root of 1565536968 is about 39566.8670480745. The cubic root of 1565536968 is about 1161.1485275374.
The spelling of 1565536968 in words is "one billion, five hundred sixty-five million, five hundred thirty-six thousand, nine hundred sixty-eight".
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