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115603246091025 = 3452721122921072
BaseRepresentation
bin11010010010001111111010…
…011010110000101100010001
3120011022120011222121110210000
4122102033322122300230101
5110123020421444403100
61045511221553400213
733231026130454200
oct3222177232605421
9504276158543700
10115603246091025
1133920074714500
1210b70825269069
134c6745467b834
142079326b13237
15d5718bc56900
hex6923fa6b0b11

115603246091025 has 1215 divisors, whose sum is σ = 286244287986657. Its totient is φ = 45952739078400.

The previous prime is 115603246090979. The next prime is 115603246091029. The reversal of 115603246091025 is 520190642306511.

It is a happy number.

The square root of 115603246091025 is 10751895.

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

115603246091025 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 0 + 3 + 2 + 4 + 609 + 10 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1589029161489 + 114014216929536 = 1260567^2 + 10677744^2 .

It is not a de Polignac number, because 115603246091025 - 29 = 115603246090513 is a prime.

It is a super-2 number, since 2×1156032460910252 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115603246091029) 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 1214 ways as a sum of consecutive naturals, for example, 1080404169022 + ... + 1080404169128.

Almost surely, 2115603246091025 is an apocalyptic number.

115603246091025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115603246091025 is the 10751895-th square number.

115603246091025 is the 5375948-th centered octagonal number.

It is an amenable number.

115603246091025 is an abundant number, since it is smaller than the sum of its proper divisors (170641041895632).

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

115603246091025 is a wasteful number, since it uses less digits than its factorization.

115603246091025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 115603246091025 its reverse (520190642306511), we get a palindrome (635793888397536).

The spelling of 115603246091025 in words is "one hundred fifteen trillion, six hundred three billion, two hundred forty-six million, ninety-one thousand, twenty-five".