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30149557965 = 35510322339
BaseRepresentation
bin11100000101000011…
…011011111011001101
32212211011201020100000
4130011003123323031
5443221241323330
621503413354513
72115064004622
oct340503337315
985734636300
1030149557965
111187170415a
125a15038a39
132ac636aa37
14166025a349
15bb6d1c560
hex7050dbecd

30149557965 has 72 divisors (see below), whose sum is σ = 54749429280. Its totient is φ = 15916842144.

The previous prime is 30149557961. The next prime is 30149557967. The reversal of 30149557965 is 56975594103.

30149557965 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 9 + 5 + 579 + 65 = 666.

It is not a de Polignac number, because 30149557965 - 22 = 30149557961 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30149557961) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12888766 + ... + 12891104.

It is an arithmetic number, because the mean of its divisors is an integer number (760408740).

Almost surely, 230149557965 is an apocalyptic number.

It is an amenable number.

30149557965 is a deficient number, since it is larger than the sum of its proper divisors (24599871315).

30149557965 is an equidigital number, since it uses as much as digits as its factorization.

30149557965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 30149557965 in words is "thirty billion, one hundred forty-nine million, five hundred fifty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 103 135 243 309 405 515 927 1215 1545 2339 2781 4635 7017 8343 10609 11695 13905 21051 25029 31827 35085 41715 53045 63153 95481 105255 125145 159135 189459 240917 286443 315765 477405 568377 722751 859329 947295 1204585 1432215 2168253 2577987 2841885 3613755 4296645 6504759 10841265 12889935 19514277 24814451 32523795 58542831 74443353 97571385 124072255 223330059 292714155 372216765 669990177 1116650295 2009970531 3349950885 6029911593 10049852655 30149557965