Search a number
-
+
11550043441665 = 325256667632037
BaseRepresentation
bin1010100000010011010000…
…1111001000101000000001
31111220011200101102121221100
42220010310033020220001
53003213442110113130
640322003335245013
72301314562246561
oct250046417105001
944804611377840
1011550043441665
113753389460863
121366586219769
1365a21a311a71
142bd04cb96da1
1515069a8b3c60
hexa81343c8a01

11550043441665 has 12 divisors (see below), whose sum is σ = 20020075298964. Its totient is φ = 6160023168864.

The previous prime is 11550043441639. The next prime is 11550043441679. The reversal of 11550043441665 is 56614434005511.

11550043441665 is a `hidden beast` number, since 1 + 1 + 5 + 50 + 0 + 434 + 4 + 166 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3117594080241 + 8432449361424 = 1765671^2 + 2903868^2 .

It is not a de Polignac number, because 11550043441665 - 211 = 11550043439617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 256667632037 = 11550043441665 / (1 + 1 + 5 + 5 + 0 + 0 + 4 + 3 + 4 + 4 + 1 + 6 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 11550043441665.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128333815974 + ... + 128333816063.

It is an arithmetic number, because the mean of its divisors is an integer number (1668339608247).

Almost surely, 211550043441665 is an apocalyptic number.

11550043441665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11550043441665 is a deficient number, since it is larger than the sum of its proper divisors (8470031857299).

11550043441665 is a wasteful number, since it uses less digits than its factorization.

11550043441665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256667632048 (or 256667632045 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 11550043441665 in words is "eleven trillion, five hundred fifty billion, forty-three million, four hundred forty-one thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 256667632037 770002896111 1283338160185 2310008688333 3850014480555 11550043441665