Base | Representation |
---|---|
bin | 11110110100000101… |
… | …101000010001101101 |
3 | 10011101211102100022200 |
4 | 132310011220101231 |
5 | 1020230023130040 |
6 | 23111034532113 |
7 | 2250622412010 |
oct | 366405502155 |
9 | 104354370280 |
10 | 33086145645 |
11 | 130392a2a23 |
12 | 64b4597039 |
13 | 317387c097 |
14 | 185c277377 |
15 | cd9a37630 |
hex | 7b416846d |
33086145645 has 96 divisors (see below), whose sum is σ = 66867021312. Its totient is φ = 14822424576.
The previous prime is 33086145643. The next prime is 33086145649. The reversal of 33086145645 is 54654168033.
33086145645 is a `hidden beast` number, since 3 + 3 + 0 + 86 + 1 + 4 + 564 + 5 = 666.
It is not a de Polignac number, because 33086145645 - 21 = 33086145643 is a prime.
It is a super-3 number, since 3×330861456453 (a number of 33 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 33086145645.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (33086145643) by changing a digit.
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, 3141909 + ... + 3152421.
It is an arithmetic number, because the mean of its divisors is an integer number (696531472).
Almost surely, 233086145645 is an apocalyptic number.
33086145645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.
It is an amenable number.
33086145645 is an abundant number, since it is smaller than the sum of its proper divisors (33780875667).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33086145645 is a wasteful number, since it uses less digits than its factorization.
33086145645 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10731 (or 10728 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The spelling of 33086145645 in words is "thirty-three billion, eighty-six million, one hundred forty-five thousand, six hundred forty-five".
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