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325581112032 = 253112191257571
BaseRepresentation
bin1001011110011100010…
…01011000001011100000
31011010101022022011101220
410233032021120023200
520313242231041112
6405323033055040
732344126535031
oct4571611301340
91133338264356
10325581112032
11116095060400
1253124557480
13249188797a7
1411a88756a88
1587083bc98c
hex4bce2582e0

325581112032 has 288 divisors, whose sum is σ = 949662185472. Its totient is φ = 97591296000.

The previous prime is 325581111991. The next prime is 325581112037. The reversal of 325581112032 is 230211185523.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 325581111984 and 325581112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325581112037) 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 47 ways as a sum of consecutive naturals, for example, 570194307 + ... + 570194877.

It is an arithmetic number, because the mean of its divisors is an integer number (3297438144).

Almost surely, 2325581112032 is an apocalyptic number.

325581112032 is a gapful number since it is divisible by the number (32) 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 325581112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474831092736).

325581112032 is an abundant number, since it is smaller than the sum of its proper divisors (624081073440).

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

325581112032 is a wasteful number, since it uses less digits than its factorization.

325581112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 325581112032 its reverse (230211185523), we get a palindrome (555792297555).

The spelling of 325581112032 in words is "three hundred twenty-five billion, five hundred eighty-one million, one hundred twelve thousand, thirty-two".