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641068032 = 21031161311
BaseRepresentation
bin100110001101011…
…110110000000000
31122200021122000110
4212031132300000
52303103134112
6143340151320
721612663003
oct4615366000
91580248013
10641068032
112a99589a0
1215a838540
13a2a775c7
14611d753a
153b43113c
hex2635ec00

641068032 has 176 divisors, whose sum is σ = 1900664064. Its totient is φ = 190464000.

The previous prime is 641067991. The next prime is 641068039. The reversal of 641068032 is 230860146.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (641068039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061157 + ... + 2061467.

Almost surely, 2641068032 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 641068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950332032).

641068032 is an abundant number, since it is smaller than the sum of its proper divisors (1259596032).

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

641068032 is a wasteful number, since it uses less digits than its factorization.

641068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 641068032 is about 25319.3213179185. The cubic root of 641068032 is about 862.2529856802.

The spelling of 641068032 in words is "six hundred forty-one million, sixty-eight thousand, thirty-two".