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8161225632 = 253471726459
BaseRepresentation
bin1111001100111001…
…00110101110100000
3210001202210012220000
413212130212232200
5113203233210012
63425455220000
7406146162510
oct74634465640
923052705800
108161225632
11350888767a
1216b9217600
13a00a726c1
14575c75840
1532b745ddc
hex1e6726ba0

8161225632 has 240 divisors, whose sum is σ = 29045459520. Its totient is φ = 2194532352.

The previous prime is 8161225619. The next prime is 8161225637. The reversal of 8161225632 is 2365221618.

8161225632 is a `hidden beast` number, since 8 + 1 + 6 + 12 + 2 + 5 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8161225637) 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 39 ways as a sum of consecutive naturals, for example, 295219 + ... + 321677.

It is an arithmetic number, because the mean of its divisors is an integer number (121022748).

Almost surely, 28161225632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8161225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522729760).

8161225632 is an abundant number, since it is smaller than the sum of its proper divisors (20884233888).

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

8161225632 is a wasteful number, since it uses less digits than its factorization.

8161225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26505 (or 26488 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 8161225632 is about 90339.5020575163. The cubic root of 8161225632 is about 2013.3462105614.

The spelling of 8161225632 in words is "eight billion, one hundred sixty-one million, two hundred twenty-five thousand, six hundred thirty-two".