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12522500532 = 223594113691
BaseRepresentation
bin10111010100110011…
…00011000110110100
31012022201021221100000
423222121203012310
5201121230004112
65430332351300
7622214332623
oct135231430664
935281257300
1012522500532
115346696aa3
122515915530
131247497239
1486b18d6ba
154d45807dc
hex2ea6631b4

12522500532 has 72 divisors (see below), whose sum is σ = 32863757472. Its totient is φ = 4169426400.

The previous prime is 12522500513. The next prime is 12522500533. The reversal of 12522500532 is 23500522521.

12522500532 is a `hidden beast` number, since 125 + 2 + 2 + 5 + 0 + 0 + 532 = 666.

12522500532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12522500496 and 12522500505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12522500533) 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 23 ways as a sum of consecutive naturals, for example, 907807 + ... + 921497.

It is an arithmetic number, because the mean of its divisors is an integer number (456441076).

Almost surely, 212522500532 is an apocalyptic number.

12522500532 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 12522500532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431878736).

12522500532 is an abundant number, since it is smaller than the sum of its proper divisors (20341256940).

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

12522500532 is a wasteful number, since it uses less digits than its factorization.

12522500532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14651 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 12522500532 in words is "twelve billion, five hundred twenty-two million, five hundred thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 941 972 1882 2823 3764 5646 8469 11292 13691 16938 25407 27382 33876 41073 50814 54764 76221 82146 101628 123219 152442 164292 228663 246438 304884 369657 457326 492876 739314 914652 1108971 1478628 2217942 3326913 4435884 6653826 12883231 13307652 25766462 38649693 51532924 77299386 115949079 154598772 231898158 347847237 463796316 695694474 1043541711 1391388948 2087083422 3130625133 4174166844 6261250266 12522500532