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117212846688 = 2533731372887
BaseRepresentation
bin110110100101001101…
…1100001101001100000
3102012112202122112221000
41231022123201221200
53410022442043223
6125502530032000
711316433521000
oct1551233415140
9365482575830
10117212846688
1145789661633
121a872418600
13b08c937622
14595d108000
1530b0457543
hex1b4a6e1a60

117212846688 has 384 divisors, whose sum is σ = 401732352000. Its totient is φ = 33233421312.

The previous prime is 117212846687. The next prime is 117212846741. The reversal of 117212846688 is 886648212711.

117212846688 is a `hidden beast` number, since 1 + 172 + 1 + 2 + 8 + 466 + 8 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117212846683) 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 63 ways as a sum of consecutive naturals, for example, 40598781 + ... + 40601667.

It is an arithmetic number, because the mean of its divisors is an integer number (1046178000).

Almost surely, 2117212846688 is an apocalyptic number.

117212846688 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 117212846688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200866176000).

117212846688 is an abundant number, since it is smaller than the sum of its proper divisors (284519505312).

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

117212846688 is a wasteful number, since it uses less digits than its factorization.

117212846688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3036 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

It can be divided in two parts, 1172128 and 46688, that added together give a square (1218816 = 11042).

The spelling of 117212846688 in words is "one hundred seventeen billion, two hundred twelve million, eight hundred forty-six thousand, six hundred eighty-eight".