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424241951616 = 273271273791093
BaseRepresentation
bin1100010110001101100…
…10100111001110000000
31111120001011002002220200
412023012302213032000
523422321414422431
6522521041205200
742436053042540
oct6130662471600
91446034062820
10424241951616
11153a1358145a
126a279930800
133100cabc902
14167679c1320
15b07ec7dee6
hex62c6ca7380

424241951616 has 384 divisors, whose sum is σ = 1411186483200. Its totient is φ = 119830523904.

The previous prime is 424241951603. The next prime is 424241951701. The reversal of 424241951616 is 616159142424.

424241951616 is a `hidden beast` number, since 4 + 2 + 4 + 24 + 1 + 9 + 5 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4242419516162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388143966 + ... + 388145058.

It is an arithmetic number, because the mean of its divisors is an integer number (3674964800).

Almost surely, 2424241951616 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 424241951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705593241600).

424241951616 is an abundant number, since it is smaller than the sum of its proper divisors (986944531584).

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

424241951616 is a wasteful number, since it uses less digits than its factorization.

424241951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1611 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 424241951616 in words is "four hundred twenty-four billion, two hundred forty-one million, nine hundred fifty-one thousand, six hundred sixteen".