Search a number
-
+
106616056566 = 23618322715461
BaseRepresentation
bin110001101001011001…
…1111110101011110110
3101012012020220211122210
41203102303332223312
53221322202302231
6120551224034250
710463021346105
oct1432263765366
9335166824583
10106616056566
1141240a91348
12187b5602986
13a091406606
1452359d603c
152b8eeb2a46
hex18d2cfeaf6

106616056566 has 64 divisors (see below), whose sum is σ = 220319398656. Its totient is φ = 34380566400.

The previous prime is 106616056541. The next prime is 106616056571. The reversal of 106616056566 is 665650616601.

It is a super-2 number, since 2×1066160565662 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6888076 + ... + 6903536.

It is an arithmetic number, because the mean of its divisors is an integer number (3442490604).

Almost surely, 2106616056566 is an apocalyptic number.

106616056566 is an abundant number, since it is smaller than the sum of its proper divisors (113703342090).

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

106616056566 is a wasteful number, since it uses less digits than its factorization.

106616056566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15837.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 106616056566 in words is "one hundred six billion, six hundred sixteen million, fifty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 61 83 122 166 183 227 249 366 454 498 681 1362 5063 10126 13847 15189 15461 18841 27694 30378 30922 37682 41541 46383 56523 83082 92766 113046 943121 1149301 1283263 1886242 2298602 2566526 2829363 3447903 3509647 3849789 5658726 6895806 7019294 7699578 10528941 21057882 78279043 156558086 214088467 234837129 291300701 428176934 469674258 582601402 642265401 873902103 1284530802 1747804206 17769342761 35538685522 53308028283 106616056566