Search a number
-
+
13112404433505 = 3251326898335577
BaseRepresentation
bin1011111011001111100000…
…1101010101101001100001
31201102112102000021101100100
42332303320031111221201
53204313201013333010
643515431101413013
72522224414462146
oct276637015255141
951375360241310
1013112404433505
1141a5a37510333
12157933186a169
13741657363c30
143349026a03cd
1517b13c8ce2c0
hexbecf8355a61

13112404433505 has 48 divisors (see below), whose sum is σ = 24485593663440. Its totient is φ = 6452936146944.

The previous prime is 13112404433497. The next prime is 13112404433507. The reversal of 13112404433505 is 50533440421131.

13112404433505 is a `hidden beast` number, since 1 + 3 + 112 + 4 + 0 + 4 + 4 + 33 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1619877289536 + 11492527143969 = 1272744^2 + 3390063^2 .

It is not a de Polignac number, because 13112404433505 - 23 = 13112404433497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13112404433505.

It is not an unprimeable number, because it can be changed into a prime (13112404433507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2594724 + ... + 5740853.

It is an arithmetic number, because the mean of its divisors is an integer number (510116534655).

Almost surely, 213112404433505 is an apocalyptic number.

13112404433505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13112404433505 is a deficient number, since it is larger than the sum of its proper divisors (11373189229935).

13112404433505 is a wasteful number, since it uses less digits than its factorization.

13112404433505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338290 (or 8338287 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13112404433505 its reverse (50533440421131), we get a palindrome (63645844854636).

The spelling of 13112404433505 in words is "thirteen trillion, one hundred twelve billion, four hundred four million, four hundred thirty-three thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 2689 8067 13445 24201 34957 40335 104871 121005 174785 314613 524355 1573065 8335577 25006731 41677885 75020193 108362501 125033655 325087503 375100965 541812505 975262509 1625437515 4876312545 22414366553 67243099659 112071832765 201729298977 291386765189 336215498295 874160295567 1008646494885 1456933825945 2622480886701 4370801477835 13112404433505