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10641120940 = 225737288439
BaseRepresentation
bin10011110100100001…
…01001111010101100
31000110121010221201101
421322100221322230
5133243111332230
64515524052444
7524461015132
oct117220517254
930417127641
1010641120940
1145706a972a
12208b834124
131007782b88
1472d371752
154242eeaca
hex27a429eac

10641120940 has 24 divisors (see below), whose sum is σ = 22652471520. Its totient is φ = 4198140288.

The previous prime is 10641120911. The next prime is 10641120949. The reversal of 10641120940 is 4902114601.

10641120940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106411209402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10641120899 and 10641120908.

It is not an unprimeable number, because it can be changed into a prime (10641120949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3642760 + ... + 3645679.

It is an arithmetic number, because the mean of its divisors is an integer number (943852980).

Almost surely, 210641120940 is an apocalyptic number.

10641120940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10641120940 is an abundant number, since it is smaller than the sum of its proper divisors (12011350580).

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

10641120940 is a wasteful number, since it uses less digits than its factorization.

10641120940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288521 (or 7288519 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10641120940 in words is "ten billion, six hundred forty-one million, one hundred twenty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 7288439 14576878 29153756 36442195 72884390 145768780 532056047 1064112094 2128224188 2660280235 5320560470 10641120940