Base | Representation |
---|---|
bin | 100001101110001010… |
… | …100011111010010000 |
3 | 10110110101202000022100 |
4 | 201232022203322100 |
5 | 1043123222010111 |
6 | 24344515040400 |
7 | 2421160633062 |
oct | 415612437220 |
9 | 113411660270 |
10 | 36208000656 |
11 | 143a0521893 |
12 | 7025ba0100 |
13 | 3550589979 |
14 | 1a76b1d732 |
15 | e1db4b756 |
hex | 86e2a3e90 |
36208000656 has 135 divisors (see below), whose sum is σ = 103001367963. Its totient is φ = 11873721600.
The previous prime is 36208000643. The next prime is 36208000667. The reversal of 36208000656 is 65600080263.
The square root of 36208000656 is 190284.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 4802490000 + 31405510656 = 69300^2 + 177216^2 .
It is a super-2 number, since 2×362080006562 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 36208000656.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 230624130 + ... + 230624286.
Almost surely, 236208000656 is an apocalyptic number.
36208000656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
36208000656 is the 190284-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36208000656
36208000656 is an abundant number, since it is smaller than the sum of its proper divisors (66793367307).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36208000656 is a wasteful number, since it uses less digits than its factorization.
36208000656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 530 (or 263 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
Multiplying 36208000656 by its sum of digits (36), we get a square (1303488023616 = 11417042).
36208000656 divided by its sum of digits (36) gives a square (1005777796 = 317142).
The spelling of 36208000656 in words is "thirty-six billion, two hundred eight million, six hundred fifty-six", and thus it is an aban number.
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