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115341988608 = 2834711294753
BaseRepresentation
bin110101101101011101…
…0110001001100000000
3102000201101022010010000
41223122322301030000
53342210022113413
6124553135040000
711222165504160
oct1533272611400
9360641263100
10115341988608
1144a09600230
121a42b970000
13ab52168302
1458228685a0
1530010a4073
hex1adaeb1300

115341988608 has 1440 divisors, whose sum is σ = 461565941760. Its totient is φ = 27776286720.

The previous prime is 115341988513. The next prime is 115341988631. The reversal of 115341988608 is 806889143511.

It is a happy number.

115341988608 is a `hidden beast` number, since 1 + 15 + 3 + 4 + 19 + 8 + 8 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2176263910 + ... + 2176263962.

It is an arithmetic number, because the mean of its divisors is an integer number (320531904).

Almost surely, 2115341988608 is an apocalyptic number.

115341988608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115341988608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230782970880).

115341988608 is an abundant number, since it is smaller than the sum of its proper divisors (346223953152).

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

115341988608 is a wasteful number, since it uses less digits than its factorization.

115341988608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 115341988608 in words is "one hundred fifteen billion, three hundred forty-one million, nine hundred eighty-eight thousand, six hundred eight".