Search a number
-
+
10525536666 = 23219241127703
BaseRepresentation
bin10011100110101111…
…01111000110011010
31000011112122122220100
421303113233012122
5133024014133131
64500234440230
7521555404551
oct116327570632
930145578810
1010525536666
114511433537
122058b93076
13cb9843b08
1471bc84d98
154190bc7e6
hex2735ef19a

10525536666 has 48 divisors (see below), whose sum is σ = 24105407040. Its totient is φ = 3310035840.

The previous prime is 10525536653. The next prime is 10525536727. The reversal of 10525536666 is 66663552501.

It is a super-2 number, since 2×105255366662 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18571 + ... + 146273.

It is an arithmetic number, because the mean of its divisors is an integer number (502195980).

Almost surely, 210525536666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10525536666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052703520).

10525536666 is an abundant number, since it is smaller than the sum of its proper divisors (13579870374).

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

10525536666 is a wasteful number, since it uses less digits than its factorization.

10525536666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127971 (or 127968 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 10525536666 in words is "ten billion, five hundred twenty-five million, five hundred thirty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 241 342 482 723 1446 2169 4338 4579 9158 13737 27474 41211 82422 127703 255406 383109 766218 1149327 2298654 2426357 4852714 7279071 14558142 21837213 30776423 43674426 61552846 92329269 184658538 276987807 553975614 584752037 1169504074 1754256111 3508512222 5262768333 10525536666