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30687682041 = 32583932
BaseRepresentation
bin11100100101001000…
…001101110111111001
32221012200021202210100
4130211020031313321
51000322021311131
622033035310013
72134316664522
oct344510156771
987180252710
1030687682041
111201843a7a5
125b452ab309
132b809b0853
1416b18d7849
15be91b67e6
hex72520ddf9

30687682041 has 9 divisors (see below), whose sum is σ = 44327410959. Its totient is φ = 20458104336.

The previous prime is 30687682033. The next prime is 30687682063. The reversal of 30687682041 is 14028678603.

The square root of 30687682041 is 175179.

It is a perfect power (a square), and thus also a powerful number.

30687682041 is a `hidden beast` number, since 306 + 87 + 68 + 204 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7124204025 + 23563478016 = 84405^2 + 153504^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 30687682041 - 23 = 30687682033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30687682031) 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 8 ways as a sum of consecutive naturals, for example, 496341 + ... + 554733.

Almost surely, 230687682041 is an apocalyptic number.

30687682041 is the 175179-th square number.

30687682041 is the 87590-th centered octagonal number.

It is an amenable number.

30687682041 is a deficient number, since it is larger than the sum of its proper divisors (13639728918).

30687682041 is an frugal number, since it uses more digits than its factorization.

30687682041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116792 (or 58396 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 30687682041 in words is "thirty billion, six hundred eighty-seven million, six hundred eighty-two thousand, forty-one".

Divisors: 1 3 9 58393 175179 525537 3409742449 10229227347 30687682041