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10524063132 = 22331122134003
BaseRepresentation
bin10011100110100100…
…00111010110011100
31000011102212210121000
421303102013112130
5133023130010012
64500143110300
7521540026542
oct116322072634
930142783530
1010524063132
114510617440
1220585a2390
13cb94491bb
1471b9bdd92
15418dcaddc
hex27348759c

10524063132 has 96 divisors (see below), whose sum is σ = 29785916160. Its totient is φ = 3186872640.

The previous prime is 10524063127. The next prime is 10524063167. The reversal of 10524063132 is 23136042501.

10524063132 is a `hidden beast` number, since 1 + 0 + 5 + 24 + 0 + 631 + 3 + 2 = 666.

10524063132 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 2×105240631322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10524063096 and 10524063105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2627043 + ... + 2631045.

It is an arithmetic number, because the mean of its divisors is an integer number (310269960).

Almost surely, 210524063132 is an apocalyptic number.

10524063132 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 10524063132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892958080).

10524063132 is an abundant number, since it is smaller than the sum of its proper divisors (19261853028).

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

10524063132 is a wasteful number, since it uses less digits than its factorization.

10524063132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10524063132 in words is "ten billion, five hundred twenty-four million, sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2213 4003 4426 6639 8006 8852 12009 13278 16012 19917 24018 24343 26556 36027 39834 44033 48036 48686 59751 72054 73029 79668 88066 97372 108081 119502 132099 144108 146058 176132 216162 219087 239004 264198 292116 396297 432324 438174 528396 657261 792594 876348 1188891 1314522 1585188 2377782 2629044 4755564 8858639 17717278 26575917 35434556 53151834 79727751 97445029 106303668 159455502 194890058 239183253 292335087 318911004 389780116 478366506 584670174 877005261 956733012 1169340348 1754010522 2631015783 3508021044 5262031566 10524063132