Search a number
-
+
42878275265727 = 3311241331967111
BaseRepresentation
bin10011011111111011000000…
…10111011010010010111111
312121211010022201122002122000
421233331200113122102333
521110004201432000402
6231110001400153343
712013565430115446
oct1157754027322277
9177733281562560
1042878275265727
111273163560a300
12498611b768853
131ac05337b3785
14a83468d85d5d
154e5567d6cc1c
hex26ff605da4bf

42878275265727 has 96 divisors (see below), whose sum is σ = 71742379752960. Its totient is φ = 25276386960000.

The previous prime is 42878275265681. The next prime is 42878275265741. The reversal of 42878275265727 is 72756257287824.

42878275265727 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 8 + 27 + 5 + 26 + 572 + 7 = 666.

It is not a de Polignac number, because 42878275265727 - 27 = 42878275265599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878275265027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43852902 + ... + 44820012.

It is an arithmetic number, because the mean of its divisors is an integer number (747316455760).

Almost surely, 242878275265727 is an apocalyptic number.

42878275265727 is a deficient number, since it is larger than the sum of its proper divisors (28864104487233).

42878275265727 is a wasteful number, since it uses less digits than its factorization.

42878275265727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967514 (or 967497 counting only the distinct ones).

The product of its digits is 1475174400, while the sum is 72.

The spelling of 42878275265727 in words is "forty-two trillion, eight hundred seventy-eight billion, two hundred seventy-five million, two hundred sixty-five thousand, seven hundred twenty-seven".

Divisors: 1 3 9 11 27 33 41 99 121 123 297 331 363 369 451 993 1089 1107 1353 2979 3267 3641 4059 4961 8937 10923 12177 13571 14883 32769 40051 40713 44649 98307 120153 122139 133947 149281 360459 366417 447843 967111 1081377 1343529 1642091 2901333 4030587 4926273 8703999 10638221 14778819 26111997 31914663 39651551 44336457 95743989 117020431 118954653 287231967 320113741 351061293 356863959 436167061 960341223 1053183879 1070591877 1308501183 2881023669 3159551637 3521251151 3925503549 4797837671 8643071007 10563753453 11776510647 13124663381 14393513013 31691260359 38733762661 39373990143 43180539039 95073781077 116201287983 118121970429 129541617117 144371297191 348603863949 354365911287 433113891573 1045811591847 1299341674719 1588084269101 3898025024157 4764252807303 14292758421909 42878275265727