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866779868977668 = 223310217860665551
BaseRepresentation
bin1100010100010101001110101…
…0001100000101101000000100
311012200000100100101112011001000
43011011103222030011220010
51402102310132424241133
612311253101422133300
7350400531120303462
oct30505235214055004
94180010311464030
10866779868977668
112312013071514a8
128126b8b4421230
132b285cb60928b9
1411408525cad832
156a31e00a8c413
hex31454ea305a04

866779868977668 has 48 divisors (see below), whose sum is σ = 2249408054360320. Its totient is φ = 288643638996000.

The previous prime is 866779868977663. The next prime is 866779868977709.

866779868977668 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (108).

It is a self number, because there is not a number n which added to its sum of digits gives 866779868977668.

It is not an unprimeable number, because it can be changed into a prime (866779868977663) by changing a digit.

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, 3930222508 + ... + 3930443043.

Almost surely, 2866779868977668 is an apocalyptic number.

It is an amenable number.

866779868977668 is an abundant number, since it is smaller than the sum of its proper divisors (1382628185382652).

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

866779868977668 is a wasteful number, since it uses less digits than its factorization.

866779868977668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860666585 (or 7860666577 counting only the distinct ones).

The product of its digits is 6194316312576, while the sum is 108.

The spelling of 866779868977668 in words is "eight hundred sixty-six trillion, seven hundred seventy-nine billion, eight hundred sixty-eight million, nine hundred seventy-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1021 2042 3063 4084 6126 9189 12252 18378 27567 36756 55134 110268 7860665551 15721331102 23581996653 31442662204 47163993306 70745989959 94327986612 141491979918 212237969877 282983959836 424475939754 848951879508 8025739527571 16051479055142 24077218582713 32102958110284 48154437165426 72231655748139 96308874330852 144463311496278 216694967244417 288926622992556 433389934488834 866779868977668