Search a number
-
+
66875857866 = 232377312710831
BaseRepresentation
bin111110010010000111…
…001001101111001010
320101121200201120112200
4332102013021233022
52043430204422431
650420005421030
74555150261356
oct762207115712
9211550646480
1066875857866
11263a8750924
1210b6470a776
1363ca118a3c
143345b36466
151b161e8ee6
hexf921c9bca

66875857866 has 96 divisors (see below), whose sum is σ = 152054243328. Its totient is φ = 21221948160.

The previous prime is 66875857859. The next prime is 66875857877.

66875857866 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66875857794 and 66875857803.

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 47 ways as a sum of consecutive naturals, for example, 6169071 + ... + 6179901.

It is an arithmetic number, because the mean of its divisors is an integer number (1583898368).

Almost surely, 266875857866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66875857866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76027121664).

66875857866 is an abundant number, since it is smaller than the sum of its proper divisors (85178385462).

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

66875857866 is a wasteful number, since it uses less digits than its factorization.

66875857866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076 (or 11073 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 66875857866 in words is "sixty-six billion, eight hundred seventy-five million, eight hundred fifty-seven thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 73 74 111 127 146 219 222 254 333 381 438 657 666 762 1143 1314 2286 2701 4699 5402 8103 9271 9398 10831 14097 16206 18542 21662 24309 27813 28194 32493 42291 48618 55626 64986 83439 84582 97479 166878 194958 343027 400747 686054 790663 801494 1029081 1202241 1375537 1581326 2058162 2371989 2404482 2751074 3087243 3606723 4126611 4743978 6174486 7115967 7213446 8253222 12379833 14231934 24759666 29254531 50894869 58509062 87763593 100414201 101789738 152684607 175527186 200828402 263290779 301242603 305369214 458053821 526581558 602485206 903727809 916107642 1807455618 3715325437 7430650874 11145976311 22291952622 33437928933 66875857866