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117183449088 = 2113111719
BaseRepresentation
bin110110100100010101…
…1011000100000000000
3102012110201100000000000
41231020223120200000
53404442430332323
6125500000000000
711315625611466
oct1551053304000
9365421300000
10117183449088
11457740027a2
121a864600000
13b0868138b4
145959254836
1530aca9be43
hex1b48ad8800

117183449088 has 576 divisors, whose sum is σ = 391724424000. Its totient is φ = 34828517376.

The previous prime is 117183449077. The next prime is 117183449189. The reversal of 117183449088 is 880944381711.

117183449088 is a `hidden beast` number, since 1 + 1 + 71 + 8 + 3 + 4 + 490 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6167549943 + ... + 6167549961.

It is an arithmetic number, because the mean of its divisors is an integer number (680077125).

Almost surely, 2117183449088 is an apocalyptic number.

117183449088 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 117183449088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195862212000).

117183449088 is an abundant number, since it is smaller than the sum of its proper divisors (274540974912).

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

117183449088 is an frugal number, since it uses more digits than its factorization.

117183449088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 117183449088 in words is "one hundred seventeen billion, one hundred eighty-three million, four hundred forty-nine thousand, eighty-eight".