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115390848640 = 2751923116111
BaseRepresentation
bin110101101110111010…
…1001001111010000000
3102000211210020110110211
41223131311021322000
53342310024124030
6125002042203504
711223331013224
oct1533565117200
9360753213424
10115390848640
1144a34142521
121a4441b3594
13ab5c314882
145829146784
15300550612a
hex1addd49e80

115390848640 has 192 divisors, whose sum is σ = 300549381120. Its totient is φ = 42313881600.

The previous prime is 115390848613. The next prime is 115390848647. The reversal of 115390848640 is 46848093511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (115390848647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7154185 + ... + 7170295.

It is an arithmetic number, because the mean of its divisors is an integer number (1565361360).

Almost surely, 2115390848640 is an apocalyptic number.

115390848640 is a gapful number since it is divisible by the number (10) 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 115390848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150274690560).

115390848640 is an abundant number, since it is smaller than the sum of its proper divisors (185158532480).

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

115390848640 is a wasteful number, since it uses less digits than its factorization.

115390848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16199 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 115390848640 in words is "one hundred fifteen billion, three hundred ninety million, eight hundred forty-eight thousand, six hundred forty".