Search a number
-
+
66075844896 = 2532391958543
BaseRepresentation
bin111101100010011011…
…010110000100100000
320022112221100201001200
4331202123112010200
52040310404014041
650204350401200
74526264262135
oct754233260440
9208487321050
1066075844896
1126028101286
1210980800200
13630045cc99
1432ab7a658c
151abad6d1b6
hexf626d6120

66075844896 has 72 divisors (see below), whose sum is σ = 187954341120. Its totient is φ = 22019285376.

The previous prime is 66075844843. The next prime is 66075844903. The reversal of 66075844896 is 69844857066.

66075844896 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 584 + 48 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099401 + ... + 1157943.

It is an arithmetic number, because the mean of its divisors is an integer number (2610476960).

Almost surely, 266075844896 is an apocalyptic number.

It is an amenable number.

66075844896 is an abundant number, since it is smaller than the sum of its proper divisors (121878496224).

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

66075844896 is a wasteful number, since it uses less digits than its factorization.

66075844896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62478 (or 62467 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 66075844896 in words is "sixty-six billion, seventy-five million, eight hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3919 7838 11757 15676 23514 31352 35271 47028 58543 62704 70542 94056 117086 125408 141084 175629 188112 234172 282168 351258 376224 468344 526887 564336 702516 936688 1053774 1128672 1405032 1873376 2107548 2810064 4215096 5620128 8430192 16860384 229430017 458860034 688290051 917720068 1376580102 1835440136 2064870153 2753160204 3670880272 4129740306 5506320408 7341760544 8259480612 11012640816 16518961224 22025281632 33037922448 66075844896