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641942409696 = 253722389163409
BaseRepresentation
bin10010101011101101011…
…11111101000111100000
32021100222001220020011120
421111312233331013200
541004144224102241
61210523153412240
764243634310600
oct11256657750740
92240861806146
10641942409696
11228278833805
12a44b526a080
13486c5271c03
14230da7d8c00
1511a7213d666
hex9576bfd1e0

641942409696 has 576 divisors, whose sum is σ = 2086204377600. Its totient is φ = 171980734464.

The previous prime is 641942409679. The next prime is 641942409697. The reversal of 641942409696 is 696904249146.

It is a happy number.

It is a super-2 number, since 2×6419424096962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641942409697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1569541140 + ... + 1569541548.

It is an arithmetic number, because the mean of its divisors is an integer number (3621882600).

Almost surely, 2641942409696 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 641942409696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043102188800).

641942409696 is an abundant number, since it is smaller than the sum of its proper divisors (1444261967904).

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

641942409696 is a wasteful number, since it uses less digits than its factorization.

641942409696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 641942409696 in words is "six hundred forty-one billion, nine hundred forty-two million, four hundred nine thousand, six hundred ninety-six".