Search a number
-
+
116451346445200 = 24521322394489701
BaseRepresentation
bin11010011110100101110001…
…001000110111001110010000
3120021022122021120001101012201
4122132211301020313032100
5110230414324142221300
61051401002055332544
733346221631516024
oct3236456110671620
9507278246041181
10116451346445200
1134117814208218
1211089074381154
134cc9412959630
1420a83bd394384
15d6e277c5066a
hex69e971237390

116451346445200 has 60 divisors (see below), whose sum is σ = 301295464450708. Its totient is φ = 42997420224000.

The previous prime is 116451346445197. The next prime is 116451346445201. The reversal of 116451346445200 is 2544643154611.

116451346445200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39708700602256 + 76742645842944 = 6301484^2 + 8760288^2 .

It is not an unprimeable number, because it can be changed into a prime (116451346445201) 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 11 ways as a sum of consecutive naturals, for example, 11197239651 + ... + 11197250050.

Almost surely, 2116451346445200 is an apocalyptic number.

116451346445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116451346445200 is an abundant number, since it is smaller than the sum of its proper divisors (184844118005508).

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

116451346445200 is a wasteful number, since it uses less digits than its factorization.

116451346445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22394489732 (or 22394489721 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

Adding to 116451346445200 its reverse (2544643154611), we get a palindrome (118995989599811).

The spelling of 116451346445200 in words is "one hundred sixteen trillion, four hundred fifty-one billion, three hundred forty-six million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 22394489701 44788979402 89577958804 111972448505 179155917608 223944897010 291128366113 358311835216 447889794020 559862242525 582256732226 895779588040 1119724485050 1164513464452 1455641830565 1791559176080 2239448970100 2329026928904 2911283661130 4478897940200 4658053857808 5822567322260 7278209152825 8957795880400 11645134644520 14556418305650 23290269289040 29112836611300 58225673222600 116451346445200