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5684402880 = 2633513217229
BaseRepresentation
bin1010100101101000…
…10001101011000000
3112200011012120211000
411102310101223000
543120201343010
62340020252000
7260602425102
oct52264215300
915604176730
105684402880
112457774022
121127841000
136c7899900
143bcd39572
152340977c0
hex152d11ac0

5684402880 has 672 divisors, whose sum is σ = 23092257600. Its totient is φ = 1311178752.

The previous prime is 5684402813. The next prime is 5684402887. The reversal of 5684402880 is 882044865.

5684402880 is a `hidden beast` number, since 568 + 4 + 4 + 0 + 2 + 8 + 80 = 666.

It is a super-2 number, since 2×56844028802 = 64624872204304588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5684402887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24822606 + ... + 24822834.

Almost surely, 25684402880 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 5684402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11546128800).

5684402880 is an abundant number, since it is smaller than the sum of its proper divisors (17407854720).

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

5684402880 is a wasteful number, since it uses less digits than its factorization.

5684402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 5684402880 is about 75394.9791431764. The cubic root of 5684402880 is about 1784.6851785717.

The spelling of 5684402880 in words is "five billion, six hundred eighty-four million, four hundred two thousand, eight hundred eighty".