Base | Representation |
---|---|
bin | 101000101100101001… |
… | …0111011001111010010 |
3 | 22100120212202221222200 |
4 | 1101121102323033102 |
5 | 2412442223320003 |
6 | 104052211144030 |
7 | 6212535213606 |
oct | 1213122731722 |
9 | 270525687880 |
10 | 87397479378 |
11 | 34079664900 |
12 | 14b312a5016 |
13 | 831a8a8c51 |
14 | 4331401506 |
15 | 2417b4e6a3 |
hex | 14594bb3d2 |
87397479378 has 72 divisors (see below), whose sum is σ = 210202158348. Its totient is φ = 26221800000.
The previous prime is 87397479371. The next prime is 87397479401.
87397479378 is a `hidden beast` number, since 87 + 3 + 9 + 7 + 479 + 3 + 78 = 666.
87397479378 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 75401315649 + 11996163729 = 274593^2 + 109527^2 .
It is not an unprimeable number, because it can be changed into a prime (87397479371) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 21328 + ... + 418628.
Almost surely, 287397479378 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 87397479378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105101079174).
87397479378 is an abundant number, since it is smaller than the sum of its proper divisors (122804678970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87397479378 is a wasteful number, since it uses less digits than its factorization.
87397479378 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 397432 (or 397418 counting only the distinct ones).
The product of its digits is 448084224, while the sum is 72.
The spelling of 87397479378 in words is "eighty-seven billion, three hundred ninety-seven million, four hundred seventy-nine thousand, three hundred seventy-eight".
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