Search a number
-
+
66274095953568 = 2531448947646847
BaseRepresentation
bin11110001000110101000111…
…11100100111011010100000
322200122202000200211012020110
433010122203330213122200
532141313322031003233
6352541522133011320
716650100610550066
oct1704324374473240
9280582020735213
1066274095953568
111a131760449318
127524444783b40
132ac980b121259
14125197d1d0036
1579de1be9b663
hex3c46a3f276a0

66274095953568 has 48 divisors (see below), whose sum is σ = 173981512535040. Its totient is φ = 22089840155136.

The previous prime is 66274095953519. The next prime is 66274095953581. The reversal of 66274095953568 is 86535959047266.

It is a happy number.

66274095953568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66274095953568.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22432480 + ... + 25214367.

It is an arithmetic number, because the mean of its divisors is an integer number (3624614844480).

Almost surely, 266274095953568 is an apocalyptic number.

It is an amenable number.

66274095953568 is an abundant number, since it is smaller than the sum of its proper divisors (107707416581472).

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

66274095953568 is a wasteful number, since it uses less digits than its factorization.

66274095953568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47661349 (or 47661341 counting only the distinct ones).

The product of its (nonzero) digits is 2939328000, while the sum is 75.

The spelling of 66274095953568 in words is "sixty-six trillion, two hundred seventy-four billion, ninety-five million, nine hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14489 28978 43467 57956 86934 115912 173868 231824 347736 463648 695472 1390944 47646847 95293694 142940541 190587388 285881082 381174776 571762164 762349552 1143524328 1524699104 2287048656 4574097312 690355166183 1380710332366 2071065498549 2761420664732 4142130997098 5522841329464 8284261994196 11045682658928 16568523988392 22091365317856 33137047976784 66274095953568