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13522206432 = 25371011671193
BaseRepresentation
bin11001001011111110…
…00111111011100000
31021220101102021000110
430211333013323200
5210143141101212
610113443451320
7656043600240
oct144577077340
937811367013
1013522206432
115809a29919
122754686b40
1313766305a7
14923c61b20
15542204a3c
hex325fc7ee0

13522206432 has 192 divisors, whose sum is σ = 41248134144. Its totient is φ = 3799142400.

The previous prime is 13522206421. The next prime is 13522206473. The reversal of 13522206432 is 23460222531.

It is a self number, because there is not a number n which added to its sum of digits gives 13522206432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11334028 + ... + 11335220.

It is an arithmetic number, because the mean of its divisors is an integer number (214834032).

Almost surely, 213522206432 is an apocalyptic number.

13522206432 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 13522206432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624067072).

13522206432 is an abundant number, since it is smaller than the sum of its proper divisors (27725927712).

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

13522206432 is a wasteful number, since it uses less digits than its factorization.

13522206432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13522206432 its reverse (23460222531), we get a palindrome (36982428963).

The spelling of 13522206432 in words is "thirteen billion, five hundred twenty-two million, two hundred six thousand, four hundred thirty-two".