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117881159760 = 24345713434649
BaseRepresentation
bin110110111001001000…
…0111100000001010000
3102021021100012101010000
41231302100330001100
53412410034103020
6130053122210000
711342130216420
oct1556220740120
9367240171100
10117881159760
1145aa1929091
121aa1a1b3900
13b168230c50
1459c3b94480
1530ede6b090
hex1b7243c050

117881159760 has 800 divisors, whose sum is σ = 515729491200. Its totient is φ = 24287993856.

The previous prime is 117881159731. The next prime is 117881159783. The reversal of 117881159760 is 67951188711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 117881159697 and 117881159706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25353916 + ... + 25358564.

It is an arithmetic number, because the mean of its divisors is an integer number (644661864).

Almost surely, 2117881159760 is an apocalyptic number.

117881159760 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 117881159760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257864745600).

117881159760 is an abundant number, since it is smaller than the sum of its proper divisors (397848331440).

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

117881159760 is a wasteful number, since it uses less digits than its factorization.

117881159760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 54.

The spelling of 117881159760 in words is "one hundred seventeen billion, eight hundred eighty-one million, one hundred fifty-nine thousand, seven hundred sixty".