Search a number
-
+
13483823616 = 29322926177
BaseRepresentation
bin11001000111011001…
…01101001000000000
31021210201012012200200
430203230231020000
5210103324323431
610105553045200
7655066416054
oct144354551000
937721165620
1013483823616
11579a2a328a
122743856800
13136b6b1b73
1491cb0dc64
1553db71ee6
hex323b2d200

13483823616 has 60 divisors (see below), whose sum is σ = 38915241222. Its totient is φ = 4494606336.

The previous prime is 13483823593. The next prime is 13483823641. The reversal of 13483823616 is 61632838431.

13483823616 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 3 + 8 + 23 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10919414016 + 2564409600 = 104496^2 + 50640^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1458481 + ... + 1467696.

Almost surely, 213483823616 is an apocalyptic number.

13483823616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13483823616 is an abundant number, since it is smaller than the sum of its proper divisors (25431417606).

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

13483823616 is an equidigital number, since it uses as much as digits as its factorization.

13483823616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926201 (or 2926182 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 13483823616 in words is "thirteen billion, four hundred eighty-three million, eight hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 2926177 5852354 8778531 11704708 17557062 23409416 26335593 35114124 46818832 52671186 70228248 93637664 105342372 140456496 187275328 210684744 280912992 374550656 421369488 561825984 749101312 842738976 1123651968 1498202624 1685477952 2247303936 3370955904 4494607872 6741911808 13483823616