Search a number
-
+
88896244896 = 2532421733177
BaseRepresentation
bin101001011001010100…
…0010000110010100000
322111110022222010202200
41102302220100302200
52424024414314041
6104501031013200
76264634420434
oct1226250206240
9274408863680
1088896244896
1134778681598
121528b20a200
1384c9258354
1444344a29c4
1524a45031b6
hex14b2a10ca0

88896244896 has 72 divisors (see below), whose sum is σ = 253399514004. Its totient is φ = 29561656320.

The previous prime is 88896244891. The next prime is 88896244903. The reversal of 88896244896 is 69844269888.

88896244896 is a `hidden beast` number, since 8 + 8 + 8 + 96 + 2 + 448 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88887459600 + 8785296 = 298140^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88896244891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245341 + ... + 487836.

Almost surely, 288896244896 is an apocalyptic number.

It is an amenable number.

88896244896 is an abundant number, since it is smaller than the sum of its proper divisors (164503269108).

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

88896244896 is a wasteful number, since it uses less digits than its factorization.

88896244896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733614 (or 733603 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 72.

The spelling of 88896244896 in words is "eighty-eight billion, eight hundred ninety-six million, two hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 30312 40416 60624 121248 733177 1466354 2199531 2932708 4399062 5865416 6598593 8798124 11730832 13197186 17596248 23461664 26394372 35192496 52788744 70384992 105577488 211154976 308667517 617335034 926002551 1234670068 1852005102 2469340136 2778007653 3704010204 4938680272 5556015306 7408020408 9877360544 11112030612 14816040816 22224061224 29632081632 44448122448 88896244896