Search a number
-
+
115080735694848 = 2133721123173349
BaseRepresentation
bin11010001010101001010010…
…010111110010000000000000
3120002110121111100010011010120
4122022221102113302000000
5110040440321314213343
61044431205442300240
733145210624412400
oct3212512227620000
9502417440104116
10115080735694848
1133739514173200
1210aa7501657680
134c2a0b3a26a11
14205bd1a04c800
15d487a9cc6683
hex68aa525f2000

115080735694848 has 2016 divisors, whose sum is σ = 411746258649600. Its totient is φ = 28448863027200.

The previous prime is 115080735694753. The next prime is 115080735694849. The reversal of 115080735694848 is 848496537080511.

It is not an unprimeable number, because it can be changed into a prime (115080735694849) 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 143 ways as a sum of consecutive naturals, for example, 329744228178 + ... + 329744228526.

It is an arithmetic number, because the mean of its divisors is an integer number (204239215600).

Almost surely, 2115080735694848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115080735694848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205873129324800).

115080735694848 is an abundant number, since it is smaller than the sum of its proper divisors (296665522954752).

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

115080735694848 is a wasteful number, since it uses less digits than its factorization.

115080735694848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 69.

The spelling of 115080735694848 in words is "one hundred fifteen trillion, eighty billion, seven hundred thirty-five million, six hundred ninety-four thousand, eight hundred forty-eight".