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115290807025 = 5259211512
BaseRepresentation
bin110101101011111011…
…1100001101011110001
3102000120210222211011211
41223113313201223301
53342103421311100
6124544110040121
711221004455552
oct1532767415361
9360523884154
10115290807025
11449927227a9
121a4167a9041
13ab44688154
145819b44329
152eeb8441ba
hex1ad7de1af1

115290807025 has 27 divisors (see below), whose sum is σ = 145551186763. Its totient is φ = 90590606000.

The previous prime is 115290807017. The next prime is 115290807029. The reversal of 115290807025 is 520708092511.

The square root of 115290807025 is 339545.

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

It can be written as a sum of positive squares in only one way, i.e., 41504690529 + 73786116496 = 203727^2 + 271636^2 .

It is not a de Polignac number, because 115290807025 - 23 = 115290807017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115290807029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100165200 + ... + 100166350.

Almost surely, 2115290807025 is an apocalyptic number.

115290807025 is the 339545-th square number.

115290807025 is the 169773-rd centered octagonal number.

It is an amenable number.

115290807025 is a deficient number, since it is larger than the sum of its proper divisors (30260379738).

115290807025 is an frugal number, since it uses more digits than its factorization.

115290807025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

Adding to 115290807025 its reverse (520708092511), we get a palindrome (635998899536).

The spelling of 115290807025 in words is "one hundred fifteen billion, two hundred ninety million, eight hundred seven thousand, twenty-five".

Divisors: 1 5 25 59 295 1151 1475 3481 5755 17405 28775 67909 87025 339545 1324801 1697725 4006631 6624005 20033155 33120025 78163259 100165775 390816295 1954081475 4611632281 23058161405 115290807025