Search a number
-
+
287680915434 = 23117359709613
BaseRepresentation
bin1000010111110110001…
…11100110011111101010
31000111112222101200122210
410023323013212133222
514203132303243214
6340054144225550
726533000302033
oct4137307463752
91014488350583
10287680915434
11101006416780
124790790b2b6
1321188846763
14dcd0dc3a8a
15773ae0eb59
hex42fb1e67ea

287680915434 has 32 divisors (see below), whose sum is σ = 636265646784. Its totient is φ = 85981841280.

The previous prime is 287680915433. The next prime is 287680915477. The reversal of 287680915434 is 434519086782.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (287680915433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29849989 + ... + 29859624.

It is an arithmetic number, because the mean of its divisors is an integer number (19883301462).

It is a 1-persistent number, because it is pandigital, but 2⋅287680915434 = 575361830868 is not.

Almost surely, 2287680915434 is an apocalyptic number.

287680915434 is an abundant number, since it is smaller than the sum of its proper divisors (348584731350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287680915434 is a wasteful number, since it uses less digits than its factorization.

287680915434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59709702.

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 287680915434 in words is "two hundred eighty-seven billion, six hundred eighty million, nine hundred fifteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1606 2409 4818 59709613 119419226 179128839 358257678 656805743 1313611486 1970417229 3940834458 4358801749 8717603498 13076405247 26152810494 47946819239 95893638478 143840457717 287680915434