Search a number
-
+
47536134482265 = 351113229401241333
BaseRepresentation
bin10101100111011110111100…
…11010001110100101011001
320020022102001221111120222020
422303233132122032211121
522212313000411413030
6245033444304245053
713004241504160242
oct1263573632164531
9206272057446866
1047536134482265
1114167a637181a0
1253b89a3310789
13206a83b2c96c0
14ba4a92997cc9
155767cd4c7510
hex2b3bde68e959

47536134482265 has 128 divisors (see below), whose sum is σ = 89969006292480. Its totient is φ = 21129099264000.

The previous prime is 47536134482261. The next prime is 47536134482311. The reversal of 47536134482265 is 56228443163574.

It is a happy number.

It is not a de Polignac number, because 47536134482265 - 22 = 47536134482261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47536134482199 and 47536134482208.

It is not an unprimeable number, because it can be changed into a prime (47536134482261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196852539 + ... + 197093871.

It is an arithmetic number, because the mean of its divisors is an integer number (702882861660).

Almost surely, 247536134482265 is an apocalyptic number.

It is an amenable number.

47536134482265 is a deficient number, since it is larger than the sum of its proper divisors (42432871810215).

47536134482265 is a wasteful number, since it uses less digits than its factorization.

47536134482265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241995.

The product of its digits is 116121600, while the sum is 60.

The spelling of 47536134482265 in words is "forty-seven trillion, five hundred thirty-six billion, one hundred thirty-four million, four hundred eighty-two thousand, two hundred sixty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 195 229 401 429 687 715 1145 1203 2005 2145 2519 2977 3435 4411 5213 6015 7557 8931 12595 13233 14885 15639 22055 26065 32747 37785 44655 57343 66165 78195 91829 98241 163735 172029 241333 275487 286715 459145 491205 723999 860145 1010119 1193777 1206665 1377435 2654663 3030357 3137329 3581331 3619995 5050595 5968885 7963989 9411987 13131547 13273315 15151785 15686645 17906655 34510619 39394641 39819945 47059935 55265257 65657735 96774533 103531857 165795771 172553095 196973205 276326285 290323599 483872665 517659285 607917827 718448341 828978855 1064519863 1258068929 1451617995 1823753481 2155345023 3039589135 3193559589 3592241705 3774206787 5322599315 6290344645 7902931751 9118767405 10776725115 13838758219 15967797945 18871033935 22161368057 23708795253 39514658755 41516274657 66484104171 69193791095 110806840285 118543976265 207581373285 243775048627 288097784741 332420520855 731325145881 864293354223 1218875243135 1440488923705 3169075632151 3656625729405 4321466771115 9507226896453 15845378160755 47536134482265