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10527417368 = 2313295716113
BaseRepresentation
bin10011100110111101…
…11010010000011000
31000011200012012201222
421303132322100120
5133030004323433
64500343031212
7521610366626
oct116336722030
930150165658
1010527417368
1145124a8536
12205973b508
13cba051b60
1471c214516
1541933eb98
hex2737ba418

10527417368 has 64 divisors (see below), whose sum is σ = 22032410400. Its totient is φ = 4682280960.

The previous prime is 10527417361. The next prime is 10527417391. The reversal of 10527417368 is 86371472501.

10527417368 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 2×105274173682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10527417361) 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 15 ways as a sum of consecutive naturals, for example, 1719080 + ... + 1725192.

Almost surely, 210527417368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10527417368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016205200).

10527417368 is an abundant number, since it is smaller than the sum of its proper divisors (11504993032).

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

10527417368 is a wasteful number, since it uses less digits than its factorization.

10527417368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

Adding to 10527417368 its reverse (86371472501), we get a palindrome (96898889869).

The spelling of 10527417368 in words is "ten billion, five hundred twenty-seven million, four hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 571 754 1142 1508 2284 3016 4568 6113 7423 12226 14846 16559 24452 29692 33118 48904 59384 66236 79469 132472 158938 177277 215267 317876 354554 430534 635752 709108 861068 1418216 1722136 2304601 3490523 4609202 6981046 9218404 13962092 18436808 27924184 45376799 90753598 101225167 181507196 202450334 363014392 404900668 809801336 1315927171 2631854342 5263708684 10527417368