| Base | Representation |
|---|---|
| bin | 110110101111010111… |
| … | …1010011101101100000 |
| 3 | 102020102111210102202210 |
| 4 | 1231132233103231200 |
| 5 | 3411222203424200 |
| 6 | 130000421042120 |
| 7 | 11331041626152 |
| oct | 1553657235540 |
| 9 | 366374712683 |
| 10 | 117553576800 |
| 11 | 45943a25170 |
| 12 | 1a948556340 |
| 13 | b1153c638a |
| 14 | 5992480ad2 |
| 15 | 30d030e650 |
| hex | 1b5ebd3b60 |
117553576800 has 288 divisors, whose sum is σ = 421564518144. Its totient is φ = 28215040000.
The previous prime is 117553576793. The next prime is 117553576801. The reversal of 117553576800 is 8675355711.
117553576800 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 (48).
It is a self number, because there is not a number n which added to its sum of digits gives 117553576800.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (117553576801) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2644357 + ... + 2688443.
It is an arithmetic number, because the mean of its divisors is an integer number (1463765688).
Almost surely, 2117553576800 is an apocalyptic number.
117553576800 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 117553576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210782259072).
117553576800 is an abundant number, since it is smaller than the sum of its proper divisors (304010941344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117553576800 is a wasteful number, since it uses less digits than its factorization.
117553576800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 44222 (or 44209 counting only the distinct ones).
The product of its (nonzero) digits is 882000, while the sum is 48.
Subtracting from 117553576800 its reverse (8675355711), we obtain a square (108878221089 = 3299672).
The spelling of 117553576800 in words is "one hundred seventeen billion, five hundred fifty-three million, five hundred seventy-six thousand, eight hundred".
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