Base | Representation |
---|---|
bin | 100001111100110101… |
… | …111001100110000010 |
3 | 10111002120002101212200 |
4 | 201330311321212002 |
5 | 1044124241231230 |
6 | 24425152534030 |
7 | 2430240643635 |
oct | 417465714602 |
9 | 114076071780 |
10 | 36454242690 |
11 | 145075190a8 |
12 | 7094551316 |
13 | 358c5b4a08 |
14 | 1a9b6dbc1c |
15 | e3558c160 |
hex | 87cd79982 |
36454242690 has 72 divisors (see below), whose sum is σ = 95997456828. Its totient is φ = 9597931200.
The previous prime is 36454242683. The next prime is 36454242697. The reversal of 36454242690 is 9624245463.
36454242690 is a `hidden beast` number, since 3 + 6 + 4 + 542 + 42 + 69 + 0 = 666.
36454242690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (36454242683) and next prime (36454242697).
It can be written as a sum of positive squares in 2 ways, for example, as 35858345769 + 595896921 = 189363^2 + 24411^2 .
It is a super-3 number, since 3×364542426903 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (36454242697) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 529240 + ... + 594140.
Almost surely, 236454242690 is an apocalyptic number.
36454242690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 36454242690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47998728414).
36454242690 is an abundant number, since it is smaller than the sum of its proper divisors (59543214138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36454242690 is a wasteful number, since it uses less digits than its factorization.
36454242690 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65072 (or 64990 counting only the distinct ones).
The product of its (nonzero) digits is 1244160, while the sum is 45.
The spelling of 36454242690 in words is "thirty-six billion, four hundred fifty-four million, two hundred forty-two thousand, six hundred ninety".
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