Search a number
-
+
85463236458 = 233101131119617
BaseRepresentation
bin100111110011000000…
…0010111111101101010
322011121002011020112000
41033212000113331222
52400012042031313
6103132233431430
76113600344455
oct1174600277552
9264532136460
1085463236458
1133276850536
121469156b576
13809cc46102
1441ca58249c
152352e2a673
hex13e6017f6a

85463236458 has 64 divisors (see below), whose sum is σ = 193264410240. Its totient is φ = 27990144000.

The previous prime is 85463236457. The next prime is 85463236471.

85463236458 is a `hidden beast` number, since 8 + 546 + 32 + 3 + 64 + 5 + 8 = 666.

85463236458 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85463236457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654666 + ... + 774282.

It is an arithmetic number, because the mean of its divisors is an integer number (3019756410).

Almost surely, 285463236458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85463236458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96632205120).

85463236458 is an abundant number, since it is smaller than the sum of its proper divisors (107801173782).

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

85463236458 is a wasteful number, since it uses less digits than its factorization.

85463236458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119860 (or 119854 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 85463236458 in words is "eighty-five billion, four hundred sixty-three million, two hundred thirty-six thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 101 131 202 262 303 393 606 786 909 1179 1818 2358 2727 3537 5454 7074 13231 26462 39693 79386 119079 119617 238158 239234 357237 358851 714474 717702 1076553 2153106 3229659 6459318 12081317 15669827 24162634 31339654 36243951 47009481 72487902 94018962 108731853 141028443 217463706 282056886 326195559 423085329 652391118 846170658 1582652527 3165305054 4747957581 9495915162 14243872743 28487745486 42731618229 85463236458