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3225567133152 = 2533713313131071
BaseRepresentation
bin101110111100000010110…
…010000111110111100000
3102102100202022121220012000
4232330002302013313200
5410321430141230102
610505445522004000
7452016363152640
oct56740262076740
912370668556160
103225567133152
111033a56613491
12441177aa6600
131a5228a14320
14b21927d0520
1558d8756501c
hex2ef02c87de0

3225567133152 has 384 divisors, whose sum is σ = 11616041041920. Its totient is φ = 847974666240.

The previous prime is 3225567133127. The next prime is 3225567133153. The reversal of 3225567133152 is 2513317655223.

3225567133152 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 567 + 1 + 3 + 31 + 52 = 666.

3225567133152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3225567133098 and 3225567133107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225567133153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24543777 + ... + 24674847.

It is an arithmetic number, because the mean of its divisors is an integer number (30250106880).

Almost surely, 23225567133152 is an apocalyptic number.

3225567133152 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 3225567133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808020520960).

3225567133152 is an abundant number, since it is smaller than the sum of its proper divisors (8390473908768).

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

3225567133152 is a wasteful number, since it uses less digits than its factorization.

3225567133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131423 (or 131409 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The spelling of 3225567133152 in words is "three trillion, two hundred twenty-five billion, five hundred sixty-seven million, one hundred thirty-three thousand, one hundred fifty-two".