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10725717486 = 23111713172973
BaseRepresentation
bin10011111110100110…
…10111010111101110
31000200111022220100210
421333103113113232
5133431240424421
64532145203250
7526536044241
oct117723272756
930614286323
1010725717486
11460442a330
1220b4030526
13101c1624c3
1473a6b3258
1542b960576
hex27f4d75ee

10725717486 has 64 divisors (see below), whose sum is σ = 24967616256. Its totient is φ = 3035635200.

The previous prime is 10725717433. The next prime is 10725717487. The reversal of 10725717486 is 68471752701.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10725717487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110496 + ... + 183468.

It is an arithmetic number, because the mean of its divisors is an integer number (390119004).

Almost surely, 210725717486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10725717486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483808128).

10725717486 is an abundant number, since it is smaller than the sum of its proper divisors (14241898770).

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

10725717486 is a wasteful number, since it uses less digits than its factorization.

10725717486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73137.

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 10725717486 in words is "ten billion, seven hundred twenty-five million, seven hundred seventeen thousand, four hundred eighty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 131 187 262 374 393 561 786 1122 1441 2227 2882 4323 4454 6681 8646 13362 24497 48994 72973 73491 145946 146982 218919 437838 802703 1240541 1605406 2408109 2481082 3721623 4816218 7443246 9559463 13645951 19118926 27291902 28678389 40937853 57356778 81875706 105154093 162510871 210308186 315462279 325021742 487532613 630924558 975065226 1787619581 3575239162 5362858743 10725717486