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30255330024 = 233215119314419
BaseRepresentation
bin11100001011010110…
…111011001011101000
32220002112202000022200
4130023112323023220
5443430331030044
621522112420200
72120520030153
oct341326731350
986075660280
1030255330024
1111916388287
125a44547660
132b1225285a
141670310c9a
15bc1262369
hex70b5bb2e8

30255330024 has 96 divisors (see below), whose sum is σ = 82917307200. Its totient is φ = 9965721600.

The previous prime is 30255329987. The next prime is 30255330031. The reversal of 30255330024 is 42003355203.

30255330024 is a `hidden beast` number, since 302 + 5 + 5 + 330 + 0 + 24 = 666.

It is a super-2 number, since 2×302553300242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30255330024.

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 23 ways as a sum of consecutive naturals, for example, 2091087 + ... + 2105505.

It is an arithmetic number, because the mean of its divisors is an integer number (863721950).

Almost surely, 230255330024 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 30255330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41458653600).

30255330024 is an abundant number, since it is smaller than the sum of its proper divisors (52661977176).

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

30255330024 is a wasteful number, since it uses less digits than its factorization.

30255330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14775 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 30255330024 its reverse (42003355203), we get a palindrome (72258685227).

The spelling of 30255330024 in words is "thirty billion, two hundred fifty-five million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 193 302 386 453 579 604 772 906 1158 1208 1359 1544 1737 1812 2316 2718 3474 3624 4632 5436 6948 10872 13896 14419 28838 29143 43257 57676 58286 86514 87429 115352 116572 129771 173028 174858 233144 259542 262287 346056 349716 519084 524574 699432 1038168 1049148 2098296 2177269 2782867 4354538 5565734 6531807 8348601 8709076 11131468 13063614 16697202 17418152 19595421 22262936 25045803 26127228 33394404 39190842 50091606 52254456 66788808 78381684 100183212 156763368 200366424 420212917 840425834 1260638751 1680851668 2521277502 3361703336 3781916253 5042555004 7563832506 10085110008 15127665012 30255330024