Search a number
-
+
66213260676 = 22331787343081
BaseRepresentation
bin111101101010100111…
…100010110110000100
320022220111221011002000
4331222213202312010
52041101043320201
650230135545300
74532553300213
oct755247426604
9208814834060
1066213260676
1126098728842
12109ba82b230
136322a73cb4
1432c1b3707a
151ac7e63d86
hexf6a9e2d84

66213260676 has 48 divisors (see below), whose sum is σ = 171760572480. Its totient is φ = 22058671680.

The previous prime is 66213260651. The next prime is 66213260689. The reversal of 66213260676 is 67606231266.

66213260676 is a `hidden beast` number, since 6 + 6 + 2 + 1 + 32 + 606 + 7 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21456 + ... + 364536.

It is an arithmetic number, because the mean of its divisors is an integer number (3578345260).

Almost surely, 266213260676 is an apocalyptic number.

It is an amenable number.

66213260676 is an abundant number, since it is smaller than the sum of its proper divisors (105547311804).

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

66213260676 is a wasteful number, since it uses less digits than its factorization.

66213260676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344881 (or 344873 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 66213260676 in words is "sixty-six billion, two hundred thirteen million, two hundred sixty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1787 3574 5361 7148 10722 16083 21444 32166 48249 64332 96498 192996 343081 686162 1029243 1372324 2058486 3087729 4116972 6175458 9263187 12350916 18526374 37052748 613085747 1226171494 1839257241 2452342988 3678514482 5517771723 7357028964 11035543446 16553315169 22071086892 33106630338 66213260676