Search a number
-
+
10677022965 = 335711298437
BaseRepresentation
bin10011111000110011…
…00111000011110101
31000120002200222001000
421330121213003311
5133331304213330
64523245353513
7525405124560
oct117431470365
930502628030
1010677022965
1145899a0424
12209b868899
13101204338b
147340394d7
15427542560
hex27c6670f5

10677022965 has 32 divisors (see below), whose sum is σ = 21693000960. Its totient is φ = 4880924352.

The previous prime is 10677022891. The next prime is 10677022987. The reversal of 10677022965 is 56922077601.

It is not a de Polignac number, because 10677022965 - 28 = 10677022709 is a prime.

It is a super-2 number, since 2×106770229652 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10677022965.

It is a congruent number.

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, 5648274 + ... + 5650163.

It is an arithmetic number, because the mean of its divisors is an integer number (677906280).

Almost surely, 210677022965 is an apocalyptic number.

10677022965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10677022965 is an abundant number, since it is smaller than the sum of its proper divisors (11015977995).

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

10677022965 is a wasteful number, since it uses less digits than its factorization.

10677022965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298458 (or 11298452 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10677022965 in words is "ten billion, six hundred seventy-seven million, twenty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 11298437 33895311 56492185 79089059 101685933 169476555 237267177 305057799 395445295 508429665 711801531 1186335885 1525288995 2135404593 3559007655 10677022965