Search a number
-
+
10713124640 = 25566957029
BaseRepresentation
bin10011111101000110…
…10100111100100000
31000122121122010020002
421332203110330200
5133420024442030
64531015235132
7526324025351
oct117643247440
930577563202
1010713124640
1145a8309119
1220ab978aa8
13101967370a
14738b55d28
1542a7c4245
hex27e8d4f20

10713124640 has 24 divisors (see below), whose sum is σ = 25309757340. Its totient is φ = 4285249792.

The previous prime is 10713124637. The next prime is 10713124679. The reversal of 10713124640 is 4642131701.

It is a happy number.

10713124640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10690732816 + 22391824 = 103396^2 + 4732^2 .

It is a super-2 number, since 2×107131246402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 33478355 + ... + 33478674.

Almost surely, 210713124640 is an apocalyptic number.

10713124640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10713124640 is an abundant number, since it is smaller than the sum of its proper divisors (14596632700).

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

10713124640 is an equidigital number, since it uses as much as digits as its factorization.

10713124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66957044 (or 66957036 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 10713124640 in words is "ten billion, seven hundred thirteen million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 66957029 133914058 267828116 334785145 535656232 669570290 1071312464 1339140580 2142624928 2678281160 5356562320 10713124640