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30999027176329 = 41222925932
BaseRepresentation
bin1110000110001100001100…
…00000001101001110001001
311001202110220111120121202211
413003012012000031032021
513030342001424120304
6145532431222425121
76346414535312512
oct703060600151611
9131673814517684
1030999027176329
119971682775143
12358799b5921a1
13143b270cc4584
1479250a51ba09
1538b550e2b204
hex1c318600d389

30999027176329 has 27 divisors (see below), whose sum is σ = 31966803584319. Its totient is φ = 30060110830080.

The previous prime is 30999027176287. The next prime is 30999027176347. The reversal of 30999027176329 is 92367172099903.

The square root of 30999027176329 is 5567677.

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

It can be written as a sum of positive squares in 13 ways, for example, as 13271121132025 + 17727906044304 = 3642955^2 + 4210452^2 .

It is not a de Polignac number, because 30999027176329 - 29 = 30999027175817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30999027174329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52274919057 + ... + 52274919649.

Almost surely, 230999027176329 is an apocalyptic number.

30999027176329 is the 5567677-th square number.

30999027176329 is the 2783839-th centered octagonal number.

It is an amenable number.

30999027176329 is a deficient number, since it is larger than the sum of its proper divisors (967776407990).

30999027176329 is an frugal number, since it uses more digits than its factorization.

30999027176329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 69441624, while the sum is 67.

The spelling of 30999027176329 in words is "thirty trillion, nine hundred ninety-nine billion, twenty-seven million, one hundred seventy-six thousand, three hundred twenty-nine".

Divisors: 1 41 229 593 1681 9389 24313 52441 135797 351649 384949 996833 2150081 5567677 14417609 31097513 80527621 88153321 228274757 591121969 1274998033 3301632461 18440825209 52274919353 135366930901 756073833569 30999027176329