Search a number
-
+
32640065664 = 273312741941
BaseRepresentation
bin11110011001011111…
…111110000010000000
310010020202001010121220
4132121133332002000
51013321324100124
622554501515040
72233564660203
oct363137760200
9103222033556
1032640065664
111292a514488
1263ab112a80
13310232572b
141818d1993a
15cb07c0879
hex7997fe080

32640065664 has 64 divisors (see below), whose sum is σ = 89496986880. Its totient is φ = 10529049600.

The previous prime is 32640065621. The next prime is 32640065687. The reversal of 32640065664 is 46656004623.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×326400656643 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1359067 + ... + 1382874.

It is an arithmetic number, because the mean of its divisors is an integer number (1398390420).

Almost surely, 232640065664 is an apocalyptic number.

It is an amenable number.

32640065664 is an abundant number, since it is smaller than the sum of its proper divisors (56856921216).

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

32640065664 is a wasteful number, since it uses less digits than its factorization.

32640065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741989 (or 2741977 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 32640065664 in words is "thirty-two billion, six hundred forty million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 2741941 5483882 8225823 10967764 16451646 21935528 32903292 43871056 65806584 85000171 87742112 131613168 170000342 175484224 255000513 263226336 340000684 350968448 510001026 526452672 680001368 1020002052 1052905344 1360002736 2040004104 2720005472 4080008208 5440010944 8160016416 10880021888 16320032832 32640065664