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159308748225 = 3252112412592
BaseRepresentation
bin1001010001011110001…
…0101001010111000001
3120020012111111220211100
42110113202221113001
510102231014420400
6201104015205013
714336551005624
oct2242742512701
9506174456740
10159308748225
11616206a9500
1226a60216769
131203aca13c3
1479d3bb5dbb
154225e47100
hex25178a95c1

159308748225 has 243 divisors, whose sum is σ = 327015163657. Its totient is φ = 74079456000.

The previous prime is 159308748217. The next prime is 159308748227. The reversal of 159308748225 is 522847803951.

The square root of 159308748225 is 399135.

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

159308748225 is a `hidden beast` number, since 1 + 59 + 30 + 87 + 482 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67055620401 + 92253127824 = 258951^2 + 303732^2 .

It is not a de Polignac number, because 159308748225 - 23 = 159308748217 is a prime.

It is a super-2 number, since 2×1593087482252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (159308748227) 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 242 ways as a sum of consecutive naturals, for example, 2700148246 + ... + 2700148304.

Almost surely, 2159308748225 is an apocalyptic number.

159308748225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

159308748225 is the 399135-th square number.

159308748225 is the 199568-th centered octagonal number.

It is an amenable number.

159308748225 is an abundant number, since it is smaller than the sum of its proper divisors (167706415432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159308748225 is a wasteful number, since it uses less digits than its factorization.

159308748225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 159308748225 in words is "one hundred fifty-nine billion, three hundred eight million, seven hundred forty-eight thousand, two hundred twenty-five".