Search a number
-
+
13147668081549 = 332973254990239
BaseRepresentation
bin1011111101010010111000…
…0101011110101110001101
31201112220102121001022102000
42333110232011132232031
53210402411012102144
643543542204022513
72524613320522521
oct277245605365615
951486377038360
1013147668081549
114209992967011
121584133531a39
13744a87098471
143364c9bd9d81
1517c00368c769
hexbf52e15eb8d

13147668081549 has 64 divisors (see below), whose sum is σ = 20433945600000. Its totient is φ = 8343570074112.

The previous prime is 13147668081529. The next prime is 13147668081553. The reversal of 13147668081549 is 94518086674131.

13147668081549 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 7 + 6 + 6 + 8 + 0 + 81 + 549 = 666.

It is not a de Polignac number, because 13147668081549 - 219 = 13147667557261 is a prime.

It is a super-2 number, since 2×131476680815492 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13147668081529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145653172 + ... + 145743410.

It is an arithmetic number, because the mean of its divisors is an integer number (319280400000).

Almost surely, 213147668081549 is an apocalyptic number.

It is an amenable number.

13147668081549 is a deficient number, since it is larger than the sum of its proper divisors (7286277518451).

13147668081549 is a wasteful number, since it uses less digits than its factorization.

13147668081549 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92899 (or 92893 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 13147668081549 in words is "thirteen trillion, one hundred forty-seven billion, six hundred sixty-eight million, eighty-one thousand, five hundred forty-nine".

Divisors: 1 3 9 27 29 73 87 219 261 657 783 1971 2117 2549 6351 7647 19053 22941 57159 68823 73921 90239 186077 221763 270717 558231 665289 812151 1674693 1995867 2436453 2616931 5024079 5396233 6587447 7850793 16188699 19762341 23552379 48566097 59287023 70657137 145698291 177861069 191035963 230019211 573107889 690057633 1719323667 2070172899 5157971001 6210518697 6670557119 16791402403 20011671357 50374207209 60035014071 151122621627 180105042213 453367864881 486950669687 1460852009061 4382556027183 13147668081549