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64195745328 = 2432111337109773
BaseRepresentation
bin111011110010010111…
…010101011000110000
320010200220121202022100
4323302113111120300
52022433102322303
645254025340400
74431554555241
oct736227253060
9203626552270
1064195745328
1125252908690
1210537037700
136090aa6430
14316dbdccc8
151a0ac918a3
hexef25d5630

64195745328 has 480 divisors, whose sum is σ = 219044105280. Its totient is φ = 17288847360.

The previous prime is 64195745323. The next prime is 64195745399. The reversal of 64195745328 is 82354759146.

It is a happy number.

64195745328 is a `hidden beast` number, since 6 + 4 + 19 + 574 + 53 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (64195745323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83047150 + ... + 83047922.

It is an arithmetic number, because the mean of its divisors is an integer number (456341886).

Almost surely, 264195745328 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 64195745328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109522052640).

64195745328 is an abundant number, since it is smaller than the sum of its proper divisors (154848359952).

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

64195745328 is a wasteful number, since it uses less digits than its factorization.

64195745328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 948 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 64195745328 in words is "sixty-four billion, one hundred ninety-five million, seven hundred forty-five thousand, three hundred twenty-eight".