Search a number
-
+
104110452288 = 2632180747313
BaseRepresentation
bin110000011110101110…
…1110110111001000000
3100221201122011221202100
41200331131312321000
53201204233433123
6115454440150400
710343645146263
oct1407535667100
9327648157670
10104110452288
11401756aa807
1218216468400
139a8229432b
145078d26cda
152a9502b643
hex183d776e40

104110452288 has 42 divisors (see below), whose sum is σ = 298413815414. Its totient is φ = 34703483904.

The previous prime is 104110452209. The next prime is 104110452323. The reversal of 104110452288 is 882254011401.

104110452288 is a `hidden beast` number, since 1 + 0 + 41 + 10 + 4 + 522 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68271418944 + 35839033344 = 261288^2 + 189312^2 .

It is a super-2 number, since 2×1041104522882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 90373081 + ... + 90374232.

Almost surely, 2104110452288 is an apocalyptic number.

104110452288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104110452288 is an abundant number, since it is smaller than the sum of its proper divisors (194303363126).

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

104110452288 is a wasteful number, since it uses less digits than its factorization.

104110452288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180747331 (or 180747318 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 104110452288 its reverse (882254011401), we get a palindrome (986364463689).

The spelling of 104110452288 in words is "one hundred four billion, one hundred ten million, four hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 180747313 361494626 542241939 722989252 1084483878 1445978504 1626725817 2168967756 2891957008 3253451634 4337935512 5783914016 6506903268 8675871024 11567828032 13013806536 17351742048 26027613072 34703484096 52055226144 104110452288