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115802343424 = 211299720101
BaseRepresentation
bin110101111011001011…
…0111000100000000000
3102001220110112120012101
41223312112320200000
53344130344442144
6125110542040144
711236455451405
oct1536626704000
9361813476171
10115802343424
1145125449659
121a539b79054
13abc664c201
145867a602ac
15302b6da6d4
hex1af65b8800

115802343424 has 96 divisors (see below), whose sum is σ = 242014008600. Its totient is φ = 55325491200.

The previous prime is 115802343421. The next prime is 115802343443. The reversal of 115802343424 is 424343208511.

It can be written as a sum of positive squares in 4 ways, for example, as 90192102400 + 25610241024 = 300320^2 + 160032^2 .

It is not an unprimeable number, because it can be changed into a prime (115802343421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5750974 + ... + 5771074.

Almost surely, 2115802343424 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 115802343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121007004300).

115802343424 is an abundant number, since it is smaller than the sum of its proper divisors (126211665176).

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

115802343424 is an equidigital number, since it uses as much as digits as its factorization.

115802343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20249 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 115802343424 in words is "one hundred fifteen billion, eight hundred two million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 128 194 232 256 388 464 512 776 928 1024 1552 1856 2048 2813 3104 3712 5626 6208 7424 11252 12416 14848 20101 22504 24832 29696 40202 45008 49664 59392 80404 90016 99328 160808 180032 198656 321616 360064 582929 643232 720128 1165858 1286464 1440256 1949797 2331716 2572928 2880512 3899594 4663432 5145856 5761024 7799188 9326864 10291712 15598376 18653728 20583424 31196752 37307456 41166848 56544113 62393504 74614912 113088226 124787008 149229824 226176452 249574016 298459648 452352904 499148032 596919296 904705808 998296064 1193838592 1809411616 1996592128 3618823232 3993184256 7237646464 14475292928 28950585856 57901171712 115802343424