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115483749241 = 7243211292
BaseRepresentation
bin110101110001101011…
…1100010101101111001
3102001002021001022010211
41223203113202231321
53343002314433431
6125015201311121
711225536446400
oct1534327425571
9361067038124
10115483749241
1144a81625083
121a46b3354a1
13ab75640b43
14583760a637
15300d7572b1
hex1ae35e2b79

115483749241 has 27 divisors (see below), whose sum is σ = 137656966671. Its totient is φ = 96598432224.

The previous prime is 115483749239. The next prime is 115483749263. The reversal of 115483749241 is 142947384511.

The square root of 115483749241 is 339829.

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., 9806742841 + 105677006400 = 99029^2 + 325080^2 .

It is not a de Polignac number, because 115483749241 - 21 = 115483749239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (115483749541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102287965 + ... + 102289093.

It is an arithmetic number, because the mean of its divisors is an integer number (5098406173).

Almost surely, 2115483749241 is an apocalyptic number.

115483749241 is the 339829-th square number.

115483749241 is the 169915-th centered octagonal number.

It is an amenable number.

115483749241 is a deficient number, since it is larger than the sum of its proper divisors (22173217430).

115483749241 is an frugal number, since it uses more digits than its factorization.

115483749241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 1179 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 115483749241 by its sum of digits (49), we get a square (5658703712809 = 23788032).

115483749241 divided by its sum of digits (49) gives a square (2356811209 = 485472).

The spelling of 115483749241 in words is "one hundred fifteen billion, four hundred eighty-three million, seven hundred forty-nine thousand, two hundred forty-one".

Divisors: 1 7 43 49 301 1129 1849 2107 7903 12943 48547 55321 90601 339829 1274641 2087521 2378803 8922487 14612647 54809563 62457409 102288529 383666941 2356811209 2685668587 16497678463 115483749241