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30128280625 = 545321312
BaseRepresentation
bin11100000011110010…
…010001010000110001
32212202200200020022101
4130003302101100301
5443200314440000
621501333340401
72114415105562
oct340362212061
985680606271
1030128280625
11118606a1183
125a09a97701
132ac1b2b0b1
14165b4bc169
15bb5017e6a
hex703c91431

30128280625 has 45 divisors (see below), whose sum is σ = 38667199879. Its totient is φ = 23467340000.

The previous prime is 30128280613. The next prime is 30128280647. The reversal of 30128280625 is 52608282103.

The square root of 30128280625 is 173575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 16717714209 + 13410566416 = 129297^2 + 115804^2 .

It is not a de Polignac number, because 30128280625 - 29 = 30128280113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 229986810 + ... + 229986940.

Almost surely, 230128280625 is an apocalyptic number.

30128280625 is the 173575-th square number.

30128280625 is the 86788-th centered octagonal number.

It is an amenable number.

30128280625 is a deficient number, since it is larger than the sum of its proper divisors (8538919254).

30128280625 is an frugal number, since it uses more digits than its factorization.

30128280625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 30128280625 in words is "thirty billion, one hundred twenty-eight million, two hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 53 125 131 265 625 655 1325 2809 3275 6625 6943 14045 16375 17161 33125 34715 70225 81875 85805 173575 351125 367979 429025 867875 909533 1755625 1839895 2145125 4339375 4547665 9199475 10725625 22738325 45997375 48205249 113691625 229986875 241026245 568458125 1205131225 6025656125 30128280625