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117431475200 = 2105213227143
BaseRepresentation
bin110110101011101110…
…1100001110000000000
3102020010000001000212022
41231113131201300000
53410444424201300
6125540340021012
711325030032624
oct1552735416000
9366100030768
10117431475200
1145891008456
121a913691768
13b0c6014a00
145980179184
1530c4741285
hex1b57761c00

117431475200 has 198 divisors, whose sum is σ = 315213255864. Its totient is φ = 43357716480.

The previous prime is 117431475191. The next prime is 117431475209. The reversal of 117431475200 is 2574134711.

It is an interprime number because it is at equal distance from previous prime (117431475191) and next prime (117431475209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117431475209) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4312829 + ... + 4339971.

Almost surely, 2117431475200 is an apocalyptic number.

117431475200 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 117431475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157606627932).

117431475200 is an abundant number, since it is smaller than the sum of its proper divisors (197781780664).

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

117431475200 is a wasteful number, since it uses less digits than its factorization.

117431475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27199 (or 27163 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 117431475200 in words is "one hundred seventeen billion, four hundred thirty-one million, four hundred seventy-five thousand, two hundred".