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115740802848 = 25311193356701
BaseRepresentation
bin110101111001010110…
…0000111111100100000
3102001202011201222101210
41223302230013330200
53344014121142343
6125100503030120
711235110406666
oct1536254077440
9361664658353
10115740802848
11450a3736280
121a52143b340
13abb6982c78
14585d800c36
1530260d1333
hex1af2b07f20

115740802848 has 96 divisors (see below), whose sum is σ = 331616884032. Its totient is φ = 35054208000.

The previous prime is 115740802817. The next prime is 115740802873. The reversal of 115740802848 is 848208047511.

115740802848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3402072-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1157408028482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 115740802797 and 115740802806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2012898 + ... + 2069598.

It is an arithmetic number, because the mean of its divisors is an integer number (3454342542).

Almost surely, 2115740802848 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 115740802848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165808442016).

115740802848 is an abundant number, since it is smaller than the sum of its proper divisors (215876081184).

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

115740802848 is a wasteful number, since it uses less digits than its factorization.

115740802848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58658 (or 58650 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 115740802848 in words is "one hundred fifteen billion, seven hundred forty million, eight hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1933 3866 5799 7732 11598 15464 21263 23196 30928 42526 46392 56701 61856 63789 85052 92784 113402 127578 170103 170104 185568 226804 255156 340206 340208 453608 510312 623711 680412 680416 907216 1020624 1247422 1360824 1814432 1871133 2041248 2494844 2721648 3742266 4989688 5443296 7484532 9979376 14969064 19958752 29938128 59876256 109603033 219206066 328809099 438412132 657618198 876824264 1205633363 1315236396 1753648528 2411266726 2630472792 3507297056 3616900089 4822533452 5260945584 7233800178 9645066904 10521891168 14467600356 19290133808 28935200712 38580267616 57870401424 115740802848