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117223884400 = 24527472333823
BaseRepresentation
bin110110100101100010…
…1101000011001110000
3102012120112102022211011
41231023011220121300
53410033303300100
6125504002400304
711316626401630
oct1551305503160
9365515368734
10117223884400
1145794910407
121a876060094
13b09200060c
14596077c6c0
1530b13d7bba
hex1b4b168670

117223884400 has 240 divisors, whose sum is σ = 330208579584. Its totient is φ = 39156848640.

The previous prime is 117223884397. The next prime is 117223884461. The reversal of 117223884400 is 4488322711.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 30660889 + ... + 30664711.

Almost surely, 2117223884400 is an apocalyptic number.

117223884400 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 117223884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165104289792).

117223884400 is an abundant number, since it is smaller than the sum of its proper divisors (212984695184).

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

117223884400 is a wasteful number, since it uses less digits than its factorization.

117223884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 117223884400 in words is "one hundred seventeen billion, two hundred twenty-three million, eight hundred eighty-four thousand, four hundred".