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30267542304 = 2532105095633
BaseRepresentation
bin11100001100000101…
…100000101100100000
32220010101201110102100
4130030011200230200
5443441442323204
621523230250400
72121025602366
oct341405405440
986111643370
1030267542304
111192226957a
125a48656a00
132b1493a35c
141671bad636
15bc2375a39
hex70c160b20

30267542304 has 36 divisors (see below), whose sum is σ = 86073324246. Its totient is φ = 10089180672.

The previous prime is 30267542303. The next prime is 30267542309. The reversal of 30267542304 is 40324576203.

30267542304 is a `hidden beast` number, since 302 + 6 + 7 + 5 + 42 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23353952400 + 6913589904 = 152820^2 + 83148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×302675423042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30267542303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52547529 + ... + 52548104.

Almost surely, 230267542304 is an apocalyptic number.

It is an amenable number.

30267542304 is an abundant number, since it is smaller than the sum of its proper divisors (55805781942).

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

30267542304 is a wasteful number, since it uses less digits than its factorization.

30267542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105095649 (or 105095638 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 30267542304 in words is "thirty billion, two hundred sixty-seven million, five hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 105095633 210191266 315286899 420382532 630573798 840765064 945860697 1261147596 1681530128 1891721394 2522295192 3363060256 3783442788 5044590384 7566885576 10089180768 15133771152 30267542304