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20030413424 = 2474314872797
BaseRepresentation
bin10010101001111001…
…111101101001110000
31220200221202102121212
4102221321331221300
5312010241212144
613111333135252
71306241463530
oct225171755160
956627672555
1020030413424
11854971208a
123a7018a528
131b72a95b48
14d803614c0
157c377749e
hex4a9e7da70

20030413424 has 80 divisors (see below), whose sum is σ = 45431282688. Its totient is φ = 8376189696.

The previous prime is 20030413409. The next prime is 20030413441. The reversal of 20030413424 is 42431403002.

It is a self number, because there is not a number n which added to its sum of digits gives 20030413424.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7159994 + ... + 7162790.

Almost surely, 220030413424 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 20030413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715641344).

20030413424 is an abundant number, since it is smaller than the sum of its proper divisors (25400869264).

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

20030413424 is a wasteful number, since it uses less digits than its factorization.

20030413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20030413424 its reverse (42431403002), we get a palindrome (62461816426).

The spelling of 20030413424 in words is "twenty billion, thirty million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 1487 2408 2797 2974 4816 5594 5948 10409 11188 11896 19579 20818 22376 23792 39158 41636 44752 63941 78316 83272 120271 127882 156632 166544 240542 255764 313264 447587 481084 511528 841897 895174 962168 1023056 1683794 1790348 1924336 3367588 3580696 4159139 6735176 7161392 8318278 13470352 16636556 29113973 33273112 58227946 66546224 116455892 178842977 232911784 357685954 465823568 715371908 1251900839 1430743816 2503801678 2861487632 5007603356 10015206712 20030413424