Search a number
-
+
4013706604356 = 2232538120719541
BaseRepresentation
bin111010011010000011100…
…011100110111101000100
3112012201002010002100100100
4322122003203212331010
51011230032342314411
612311512114044100
7562660251136551
oct72320343467504
915181063070310
104013706604356
111308226817369
12549a72279630
1323164c6ac907
14dc39b881a28
156e614486456
hex3a6838e6f44

4013706604356 has 36 divisors (see below), whose sum is σ = 10147644329004. Its totient is φ = 1337653502400.

The previous prime is 4013706604339. The next prime is 4013706604357. The reversal of 4013706604356 is 6534066073104.

4013706604356 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 0 + 6 + 604 + 35 + 6 = 666.

4013706604356 is digitally balanced in base 2, 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 2 ways, for example, as 928941281856 + 3084765322500 = 963816^2 + 1756350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40137066043562 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013706604357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10166055 + ... + 10553486.

It is an arithmetic number, because the mean of its divisors is an integer number (281879009139).

Almost surely, 24013706604356 is an apocalyptic number.

It is an amenable number.

4013706604356 is an abundant number, since it is smaller than the sum of its proper divisors (6133937724648).

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

4013706604356 is a wasteful number, since it uses less digits than its factorization.

4013706604356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20724932 (or 20724927 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4013706604356 in words is "four trillion, thirteen billion, seven hundred six million, six hundred four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 5381 10762 16143 21524 32286 48429 64572 96858 193716 20719541 41439082 62158623 82878164 124317246 186475869 248634492 372951738 745903476 111491850121 222983700242 334475550363 445967400484 668951100726 1003426651089 1337902201452 2006853302178 4013706604356