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117104449280 = 28572133141113
BaseRepresentation
bin110110100001111111…
…0000001011100000000
3102012021012200101122012
41231003332001130000
53404312214334110
6125444054432052
711313646252400
oct1550376013400
9365235611565
10117104449280
1145733454aa5
121a842062628
13b073343850
14594c96c800
1530a5b94905
hex1b43f81700

117104449280 has 864 divisors, whose sum is σ = 374868684288. Its totient is φ = 34681651200.

The previous prime is 117104449261. The next prime is 117104449309. The reversal of 117104449280 is 82944401711.

117104449280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1036322504 + ... + 1036322616.

It is an arithmetic number, because the mean of its divisors is an integer number (433875792).

Almost surely, 2117104449280 is an apocalyptic number.

117104449280 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 117104449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187434342144).

117104449280 is an abundant number, since it is smaller than the sum of its proper divisors (257764235008).

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

117104449280 is a wasteful number, since it uses less digits than its factorization.

117104449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 117104449280 in words is "one hundred seventeen billion, one hundred four million, four hundred forty-nine thousand, two hundred eighty".