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117811112832 = 27327131229487
BaseRepresentation
bin110110110111000010…
…1101110101110000000
3102021002110101121210100
41231232011232232000
53412234121102312
6130042141002400
711340316636110
oct1555605565600
9367073347710
10117811112832
1145a66335866
121a9ba853400
13b156876c6a
1459b875d040
1530e7c315dc
hex1b6e16eb80

117811112832 has 384 divisors, whose sum is σ = 392911833600. Its totient is φ = 33189212160.

The previous prime is 117811112807. The next prime is 117811112851. The reversal of 117811112832 is 238211118711.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 241911693 + ... + 241912179.

It is an arithmetic number, because the mean of its divisors is an integer number (1023207900).

Almost surely, 2117811112832 is an apocalyptic number.

117811112832 is a gapful number since it is divisible by the number (12) 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 117811112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196455916800).

117811112832 is an abundant number, since it is smaller than the sum of its proper divisors (275100720768).

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

117811112832 is a wasteful number, since it uses less digits than its factorization.

117811112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 859 counting only the distinct ones).

The product of its digits is 5376, while the sum is 36.

The spelling of 117811112832 in words is "one hundred seventeen billion, eight hundred eleven million, one hundred twelve thousand, eight hundred thirty-two".