Search a number
-
+
66205856652 = 223131735969539
BaseRepresentation
bin111101101010001011…
…010011001110001100
320022212222222222122220
4331222023103032030
52041042144403102
650225313135340
74532433332145
oct755213231614
9208788888586
1066205856652
1126094531011
12109b825a550
136321380c10
1432c0b6aacc
151ac74a01bc
hexf6a2d338c

66205856652 has 96 divisors (see below), whose sum is σ = 176642726400. Its totient is φ = 19119055872.

The previous prime is 66205856641. The next prime is 66205856719. The reversal of 66205856652 is 25665850266.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 66205856595 and 66205856604.

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 31 ways as a sum of consecutive naturals, for example, 917299 + ... + 986837.

It is an arithmetic number, because the mean of its divisors is an integer number (1840028400).

Almost surely, 266205856652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66205856652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88321363200).

66205856652 is an abundant number, since it is smaller than the sum of its proper divisors (110436869748).

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

66205856652 is a wasteful number, since it uses less digits than its factorization.

66205856652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69935 (or 69933 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 66205856652 in words is "sixty-six billion, two hundred five million, eight hundred fifty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 359 442 663 718 884 1077 1326 1436 2154 2652 4308 4667 6103 9334 12206 14001 18309 18668 24412 28002 36618 56004 69539 73236 79339 139078 158678 208617 238017 278156 317356 417234 476034 834468 904007 952068 1182163 1808014 2364326 2712021 3546489 3616028 4728652 5424042 7092978 10848084 14185956 15368119 24964501 30736238 46104357 49929002 61472476 74893503 92208714 99858004 149787006 184417428 299574012 324538513 424396517 649077026 848793034 973615539 1273189551 1298154052 1697586068 1947231078 2546379102 3894462156 5092758204 5517154721 11034309442 16551464163 22068618884 33102928326 66205856652