Search a number
-
+
117508568997888 = 2133847181257
BaseRepresentation
bin11010101101111110011000…
…100000110110000000000000
3120102001201011012210200000000
4122231332120200312000000
5110400230022130413023
61053530405200000000
733515466612114525
oct3255763040660000
9512051135720000
10117508568997888
1134495116836972
1211219b46000000
13507501a1203b3
14210363345b14c
15d8ba02e87243
hex6adf98836000

117508568997888 has 1008 divisors, whose sum is σ = 363383324950464. Its totient is φ = 37975983390720.

The previous prime is 117508568997887. The next prime is 117508568997913. The reversal of 117508568997888 is 888799865805711.

117508568997888 is a `hidden beast` number, since 1 + 1 + 7 + 508 + 5 + 6 + 8 + 9 + 97 + 8 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117508568997798 and 117508568997807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117508568997887) 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 71 ways as a sum of consecutive naturals, for example, 457231785856 + ... + 457231786112.

It is an arithmetic number, because the mean of its divisors is an integer number (360499330308).

Almost surely, 2117508568997888 is an apocalyptic number.

117508568997888 is a gapful number since it is divisible by the number (18) 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 117508568997888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181691662475232).

117508568997888 is an abundant number, since it is smaller than the sum of its proper divisors (245874755952576).

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

117508568997888 is an frugal number, since it uses more digits than its factorization.

117508568997888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 19508428800, while the sum is 90.

The spelling of 117508568997888 in words is "one hundred seventeen trillion, five hundred eight billion, five hundred sixty-eight million, nine hundred ninety-seven thousand, eight hundred eighty-eight".