Search a number
-
+
64857714341976 = 23322980938395703
BaseRepresentation
bin11101011111100110111010…
…00001100011100001011000
322111122100002121221022021100
432233303131001203201120
532000112044332420401
6345535120031311400
716442546423522343
oct1657633501434130
9274570077838240
1064857714341976
11197360029aa856
127335a3937b560
132a2609668a5aa
1412031b70b745a
15777170ab5b86
hex3afcdd063858

64857714341976 has 96 divisors (see below), whose sum is σ = 181938043404000. Its totient is φ = 20847944689152.

The previous prime is 64857714341971. The next prime is 64857714342049. The reversal of 64857714341976 is 67914341775846.

64857714341976 is a `hidden beast` number, since 6 + 4 + 8 + 57 + 71 + 434 + 1 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64857714341971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17508660 + ... + 20887043.

It is an arithmetic number, because the mean of its divisors is an integer number (1895187952125).

Almost surely, 264857714341976 is an apocalyptic number.

It is an amenable number.

64857714341976 is an abundant number, since it is smaller than the sum of its proper divisors (117080329062024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64857714341976 is a wasteful number, since it uses less digits than its factorization.

64857714341976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38396553 (or 38396546 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 64857714341976 in words is "sixty-four trillion, eight hundred fifty-seven billion, seven hundred fourteen million, three hundred forty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 809 1044 1618 2088 2427 3236 4854 6472 7281 9708 14562 19416 23461 29124 46922 58248 70383 93844 140766 187688 211149 281532 422298 563064 844596 1689192 38395703 76791406 115187109 153582812 230374218 307165624 345561327 460748436 691122654 921496872 1113475387 1382245308 2226950774 2764490616 3340426161 4453901548 6680852322 8907803096 10021278483 13361704644 20042556966 26723409288 31062123727 40085113932 62124247454 80170227864 93186371181 124248494908 186372742362 248496989816 279559113543 372745484724 559118227086 745490969448 900801588083 1118236454172 1801603176166 2236472908344 2702404764249 3603206352332 5404809528498 7206412704664 8107214292747 10809619056996 16214428585494 21619238113992 32428857170988 64857714341976