Search a number
-
+
4956648131259 = 331137451055431
BaseRepresentation
bin100100000100000111101…
…0000000100101010111011
3122112211222022221000102000
41020020033100010222323
51122202203410200014
614313015215312043
71021051234646226
oct110101720045273
918484868830360
104956648131259
111641114717970
1268076b51b623
1329c54376b826
14131c8dd7a5bd
1588e0183d509
hex4820f404abb

4956648131259 has 32 divisors (see below), whose sum is σ = 8227251079680. Its totient is φ = 2922839186400.

The previous prime is 4956648131221. The next prime is 4956648131269. The reversal of 4956648131259 is 9521318466594.

4956648131259 is a `hidden beast` number, since 4 + 9 + 566 + 4 + 8 + 1 + 3 + 12 + 59 = 666.

It is not a de Polignac number, because 4956648131259 - 29 = 4956648130747 is a prime.

It is a super-2 number, since 2×49566481312592 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4956648131196 and 4956648131205.

It is not an unprimeable number, because it can be changed into a prime (4956648131269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225516727 + ... + 225538704.

It is an arithmetic number, because the mean of its divisors is an integer number (257101596240).

Almost surely, 24956648131259 is an apocalyptic number.

4956648131259 is a deficient number, since it is larger than the sum of its proper divisors (3270602948421).

4956648131259 is a wasteful number, since it uses less digits than its factorization.

4956648131259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451055488 (or 451055482 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 4956648131259 in words is "four trillion, nine hundred fifty-six billion, six hundred forty-eight million, one hundred thirty-one thousand, two hundred fifty-nine".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 451055431 1353166293 4059498879 4961609741 12178496637 14884829223 16689050947 44654487669 50067152841 133963463007 150201458523 183579560417 450604375569 550738681251 1652216043753 4956648131259