Search a number
-
+
87267934784 = 263764157493
BaseRepresentation
bin101000101000110010…
…0110000001001000000
322100020212000102012202
41101101210300021000
52412211042403114
6104031302412332
76206403130562
oct1212144601100
9270225012182
1087267934784
1134012524058
1214ab5a310a8
1382c9abc844
14431c11d332
15240b5b0cde
hex1451930240

87267934784 has 56 divisors (see below), whose sum is σ = 178133200248. Its totient is φ = 42387701760.

The previous prime is 87267934769. The next prime is 87267934843. The reversal of 87267934784 is 48743976278.

It can be written as a sum of positive squares in 4 ways, for example, as 45570294784 + 41697640000 = 213472^2 + 204200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87267934784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1489142 + ... + 1546634.

Almost surely, 287267934784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87267934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89066600124).

87267934784 is an abundant number, since it is smaller than the sum of its proper divisors (90865265464).

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

87267934784 is a wasteful number, since it uses less digits than its factorization.

87267934784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58183 (or 58173 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 65.

The spelling of 87267934784 in words is "eighty-seven billion, two hundred sixty-seven million, nine hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 641 1184 1282 2368 2564 5128 10256 20512 23717 41024 47434 57493 94868 114986 189736 229972 379472 459944 758944 919888 1517888 1839776 2127241 3679552 4254482 8508964 17017928 34035856 36853013 68071712 73706026 136143424 147412052 294824104 589648208 1179296416 1363561481 2358592832 2727122962 5454245924 10908491848 21816983696 43633967392 87267934784