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10713492036 = 223213213272
BaseRepresentation
bin10011111101001001…
…01110101001000100
31000122122022210012100
421332210232221010
5133420123221121
64531031152100
7526330115442
oct117644565104
930578283170
1010713492036
1145a853a155
1220abb15630
131019771a00
14738c0db92
1542a848026
hex27e92ea44

10713492036 has 81 divisors (see below), whose sum is σ = 29346865821. Its totient is φ = 3293974944.

The previous prime is 10713492029. The next prime is 10713492047. The reversal of 10713492036 is 63029431701.

The square root of 10713492036 is 103506.

It is a perfect power (a square), and thus also a powerful number.

10713492036 is a `hidden beast` number, since 107 + 1 + 349 + 203 + 6 = 666.

10713492036 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 only one way, i.e., 1584836100 + 9128655936 = 39810^2 + 95544^2 .

It is a super-2 number, since 2×107134920362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 8072805 + ... + 8074131.

Almost surely, 210713492036 is an apocalyptic number.

10713492036 is the 103506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713492036

10713492036 is an abundant number, since it is smaller than the sum of its proper divisors (18633373785).

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

10713492036 is a wasteful number, since it uses less digits than its factorization.

10713492036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 10713492036 by its sum of digits (36), we get a square (385685713296 = 6210362).

10713492036 divided by its sum of digits (36) gives a square (297597001 = 172512).

The spelling of 10713492036 in words is "ten billion, seven hundred thirteen million, four hundred ninety-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1327 1521 2028 2654 3042 3981 5308 6084 7962 11943 15924 17251 23886 34502 47772 51753 69004 103506 155259 207012 224263 310518 448526 621036 672789 897052 1345578 1760929 2018367 2691156 3521858 4036734 5282787 7043716 8073468 10565574 15848361 21131148 22892077 31696722 45784154 63393444 68676231 91568308 137352462 206028693 274704924 297597001 412057386 595194002 824114772 892791003 1190388004 1785582006 2678373009 3571164012 5356746018 10713492036