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11260241532 = 22327316725657
BaseRepresentation
bin10100111110010100…
…11010011001111100
31002001202010112111200
422133022122121330
5141030110212112
65101202015500
7546016321341
oct123712323174
932052115450
1011260241532
114859127141
122223047590
1310a5b14817
1478b6947c8
1545d847cdc
hex29f29a67c

11260241532 has 72 divisors (see below), whose sum is σ = 29027203296. Its totient is φ = 3679686144.

The previous prime is 11260241497. The next prime is 11260241543. The reversal of 11260241532 is 23514206211.

11260241532 is a `hidden beast` number, since 1 + 1 + 2 + 602 + 4 + 1 + 53 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11260241496 and 11260241505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426048 + ... + 451704.

Almost surely, 211260241532 is an apocalyptic number.

11260241532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11260241532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14513601648).

11260241532 is an abundant number, since it is smaller than the sum of its proper divisors (17766961764).

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

11260241532 is a wasteful number, since it uses less digits than its factorization.

11260241532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25907 (or 25902 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11260241532 its reverse (23514206211), we get a palindrome (34774447743).

The spelling of 11260241532 in words is "eleven billion, two hundred sixty million, two hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 167 219 292 334 438 501 657 668 876 1002 1314 1503 2004 2628 3006 6012 12191 24382 25657 36573 48764 51314 73146 76971 102628 109719 146292 153942 219438 230913 307884 438876 461826 923652 1872961 3745922 4284719 5618883 7491844 8569438 11237766 12854157 16856649 17138876 22475532 25708314 33713298 38562471 51416628 67426596 77124942 154249884 312784487 625568974 938353461 1251137948 1876706922 2815060383 3753413844 5630120766 11260241532