Search a number
-
+
27923254750378 = 21319319723380677
BaseRepresentation
bin1100101100101011000111…
…01011100010110010101010
310122212102210122010021200101
412112111203223202302222
512124443311204003003
6135215433253100014
75611250166130531
oct626254353426252
9118772718107611
1027923254750378
118996205392339
12316b86962760a
1312771c8171290
146c76c811d318
1533653444311d
hex196563ae2caa

27923254750378 has 128 divisors (see below), whose sum is σ = 49730900244480. Its totient is φ = 11643366850560.

The previous prime is 27923254750373. The next prime is 27923254750403. The reversal of 27923254750378 is 87305745232972.

It is a super-3 number, since 3×279232547503783 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (27923254750373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346071376 + ... + 346152052.

It is an arithmetic number, because the mean of its divisors is an integer number (388522658160).

Almost surely, 227923254750378 is an apocalyptic number.

27923254750378 is a deficient number, since it is larger than the sum of its proper divisors (21807645494102).

27923254750378 is a wasteful number, since it uses less digits than its factorization.

27923254750378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81072.

The product of its (nonzero) digits is 177811200, while the sum is 64.

The spelling of 27923254750378 in words is "twenty-seven trillion, nine hundred twenty-three billion, two hundred fifty-four million, seven hundred fifty thousand, three hundred seventy-eight".

Divisors: 1 2 13 19 26 31 38 62 97 194 233 247 403 466 494 589 806 1178 1261 1843 2522 3007 3029 3686 4427 6014 6058 7223 7657 8854 14446 15314 22601 23959 39091 45202 47918 57133 57551 78182 80677 93899 114266 115102 137237 161354 187798 274474 293813 429419 587626 700631 742729 858838 1048801 1401262 1485458 1532863 1784081 2097602 2500987 3065726 3568162 5001974 5582447 7825669 9108203 11164894 13311989 15651338 18216406 18797741 19927219 26623978 32512831 37595482 39854438 47518753 65025662 95037506 101733697 148687711 173055857 203467394 242595739 244370633 297375422 346111714 357157079 485191478 488741266 582729971 617743789 714314158 1165459942 1235487578 1823380877 1932940243 3153744607 3646761754 3865880486 4609319041 4643042027 6307489214 7575489623 9218638082 9286084054 11071869449 15150979246 22143738898 23703951401 34644236663 47407902802 56524807187 59921147533 69288473326 113049614374 119842295066 143934302837 287868605674 450375076619 734822493431 900750153238 1073971336553 1469644986862 2147942673106 13961627375189 27923254750378