Search a number
-
+
3066788005125 = 353135322515273
BaseRepresentation
bin101100101000001010110…
…011110100010100000101
3101212011220201200110200120
4230220022303310110011
5400221240212131000
610304510222132153
7434365602635145
oct54501263642405
911764821613616
103066788005125
11a82687972529
12416445121059
13193273699170
14a860d0c0925
1554b92d876a0
hex2ca0acf4505

3066788005125 has 128 divisors (see below), whose sum is σ = 5602926131712. Its totient is φ = 1480377600000.

The previous prime is 3066788005079. The next prime is 3066788005207. The reversal of 3066788005125 is 5215008876603.

It is a happy number.

It is not a de Polignac number, because 3066788005125 - 222 = 3066783810821 is a prime.

It is a super-3 number, since 3×30667880051253 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 581599489 + ... + 581604761.

It is an arithmetic number, because the mean of its divisors is an integer number (43772860404).

Almost surely, 23066788005125 is an apocalyptic number.

It is an amenable number.

3066788005125 is a deficient number, since it is larger than the sum of its proper divisors (2536138126587).

3066788005125 is a wasteful number, since it uses less digits than its factorization.

3066788005125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 3066788005125 in words is "three trillion, sixty-six billion, seven hundred eighty-eight million, five thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 53 65 75 125 159 195 265 325 375 689 795 975 1325 1625 2067 2251 3445 3975 4875 5273 6625 6753 10335 11255 15819 17225 19875 26365 29263 33765 51675 56275 68549 79095 86125 87789 119303 131825 146315 168825 205647 258375 279469 281375 342745 357909 395475 438945 596515 659125 731575 838407 844125 1028235 1397345 1550939 1713725 1789545 1977375 2194725 2982575 3633097 3657875 4192035 4652817 5141175 6986725 7754695 8568625 8947725 10899291 10973625 11869523 14912875 18165485 20960175 23264085 25705875 34933625 35608569 38773475 44738625 54496455 59347615 90827425 104800875 116320425 154303799 178042845 193867375 272482275 296738075 454137125 462911397 581602125 629084719 771518995 890214225 1362411375 1483690375 1887254157 2314556985 3145423595 3857594975 4451071125 8178101347 9436270785 11572784925 15727117975 19287974875 24534304041 40890506735 47181353925 57863924625 78635589875 122671520205 204452533675 235906769625 613357601025 1022262668375 3066788005125