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2963431872 = 263323173431

2963431872 has 224 divisors, whose sum is σ = 9164482560. Its totient is φ = 937221120.

The previous prime is 2963431871. The next prime is 2963431931. The reversal of 2963431872 is 2781343692.

2963431872 is a `hidden beast` number, since 2 + 9 + 634 + 3 + 1 + 8 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (435456) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2963431871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6875497 + ... + 6875927.

Almost surely, 22963431872 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 2963431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582241280).

2963431872 is an abundant number, since it is smaller than the sum of its proper divisors (6201050688).

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

2963431872 is a wasteful number, since it uses less digits than its factorization.

2963431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2963431872 is about 54437.4124293211. The cubic root of 2963431872 is about 1436.3655569002.

The spelling of 2963431872 in words is "two billion, nine hundred sixty-three million, four hundred thirty-one thousand, eight hundred seventy-two".