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117379845744 = 24372712932399
BaseRepresentation
bin110110101010001100…
…0100100111001110000
3102012222101212222120020
41231110120210321300
53410343220030434
6125531253243440
711323532140500
oct1552430447160
9365871788506
10117379845744
1145864954487
121a8ba333580
13b0b8408a35
145977379a00
1530bee43849
hex1b54624e70

117379845744 has 240 divisors, whose sum is σ = 359077017600. Its totient is φ = 32938160640.

The previous prime is 117379845733. The next prime is 117379845797. The reversal of 117379845744 is 447548973711.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 48927457 + ... + 48929855.

It is an arithmetic number, because the mean of its divisors is an integer number (1496154240).

Almost surely, 2117379845744 is an apocalyptic number.

117379845744 is a gapful number since it is divisible by the number (14) 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 117379845744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179538508800).

117379845744 is an abundant number, since it is smaller than the sum of its proper divisors (241697171856).

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

117379845744 is a wasteful number, since it uses less digits than its factorization.

117379845744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2775 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 60.

The spelling of 117379845744 in words is "one hundred seventeen billion, three hundred seventy-nine million, eight hundred forty-five thousand, seven hundred forty-four".