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115119702478225 = 5223279211812
BaseRepresentation
bin11010001011001101100100…
…111110010000110110010001
3120002121100001222222211212201
4122023031210332100312101
5110042110122313300400
61044501132231523201
733151060354536004
oct3213154476206621
9502540058884781
10115119702478225
1133753a9a980305
1210ab2b77529501
134c30983a0bca3
14205db7530353b
15d497dac1a06a
hex68b364f90d91

115119702478225 has 81 divisors (see below), whose sum is σ = 151265644016529. Its totient is φ = 86902868395200.

The previous prime is 115119702478223. The next prime is 115119702478229. The reversal of 115119702478225 is 522874207911511.

The square root of 115119702478225 is 10729385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13645347869521 + 101474354608704 = 3693961^2 + 10073448^2 .

It is not a de Polignac number, because 115119702478225 - 21 = 115119702478223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115119702478223) 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 80 ways as a sum of consecutive naturals, for example, 97476462135 + ... + 97476463315.

Almost surely, 2115119702478225 is an apocalyptic number.

115119702478225 is the 10729385-th square number.

115119702478225 is the 5364693-rd centered octagonal number.

It is an amenable number.

115119702478225 is a deficient number, since it is larger than the sum of its proper divisors (36145941538304).

115119702478225 is an frugal number, since it uses more digits than its factorization.

115119702478225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 55.

The spelling of 115119702478225 in words is "one hundred fifteen trillion, one hundred nineteen billion, seven hundred two million, four hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 5 23 25 79 115 395 529 575 1181 1817 1975 2645 5905 6241 9085 13225 27163 29525 31205 41791 45425 93299 135815 143543 156025 208955 466495 624749 679075 717715 1044775 1394761 2145877 2332475 3123745 3301489 3588575 6973805 7370621 10729385 15618725 16507445 32079503 34869025 36853105 49355171 53646925 82537225 110186119 160397515 169524283 184265525 246775855 550930595 737828569 801987575 847621415 1233879275 2534280737 2754652975 3689142845 3899058509 4238107075 8704703401 12671403685 18445714225 19495292545 43523517005 58288456951 63357018425 97476462725 200208178223 217617585025 291442284755 1001040891115 1457211423775 4604788099129 5005204455575 23023940495645 115119702478225