Search a number
-
+
30704501529 = 3213244932
BaseRepresentation
bin11100100110001000…
…011000001100011001
32221020211221021210100
4130212020120030121
51000340323022104
622034440010013
72134612646112
oct344610301431
987224837710
1030704501529
11120269884a9
125b4aa60909
132b8431c400
1416b3c35209
15bea8da139
hex726218319

30704501529 has 27 divisors (see below), whose sum is σ = 48035680797. Its totient is φ = 18890872416.

The previous prime is 30704501491. The next prime is 30704501539. The reversal of 30704501529 is 92510540703.

The square root of 30704501529 is 175227.

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

30704501529 is a `hidden beast` number, since 30 + 70 + 4 + 501 + 52 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3320871129 + 27383630400 = 57627^2 + 165480^2 .

It is not a de Polignac number, because 30704501529 - 215 = 30704468761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30704501493 and 30704501502.

It is not an unprimeable number, because it can be changed into a prime (30704501539) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6831607 + ... + 6836099.

Almost surely, 230704501529 is an apocalyptic number.

30704501529 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

30704501529 is the 175227-th square number.

30704501529 is the 87614-th centered octagonal number.

It is an amenable number.

30704501529 is a deficient number, since it is larger than the sum of its proper divisors (17331179268).

30704501529 is an frugal number, since it uses more digits than its factorization.

30704501529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 30704501529 by its sum of digits (36), we get a square (1105362055044 = 10513622).

The spelling of 30704501529 in words is "thirty billion, seven hundred four million, five hundred one thousand, five hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 4493 13479 40437 58409 175227 525681 759317 2277951 6833853 20187049 60561147 181683441 262431637 787294911 2361884733 3411611281 10234833843 30704501529