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30500876025 = 345238812
BaseRepresentation
bin11100011001111111…
…100110111011111001
32220201122210001010000
4130121333212323321
5444431211013100
622002323343213
72126561111544
oct343177467371
986648701100
1030500876025
1111a31a49664
125ab2821b09
132b51095b49
141694b8b85b
15bd7ab6900
hex719fe6ef9

30500876025 has 45 divisors (see below), whose sum is σ = 56512727293. Its totient is φ = 16262942400.

The previous prime is 30500875981. The next prime is 30500876027. The reversal of 30500876025 is 52067800503.

The square root of 30500876025 is 174645.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3143529 + 30497732496 = 1773^2 + 174636^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 30500876025 - 215 = 30500843257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30500876027) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7857085 + ... + 7860965.

Almost surely, 230500876025 is an apocalyptic number.

30500876025 is the 174645-th square number.

30500876025 is the 87323-rd centered octagonal number.

It is an amenable number.

30500876025 is a deficient number, since it is larger than the sum of its proper divisors (26011851268).

30500876025 is an frugal number, since it uses more digits than its factorization.

30500876025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 30500876025 by its sum of digits (36), we get a square (1098031536900 = 10478702).

The spelling of 30500876025 in words is "thirty billion, five hundred million, eight hundred seventy-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 3881 11643 19405 34929 58215 97025 104787 174645 291075 314361 523935 873225 1571805 2619675 7859025 15062161 45186483 75310805 135559449 225932415 376554025 406678347 677797245 1129662075 1220035041 2033391735 3388986225 6100175205 10166958675 30500876025