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117427116384 = 2532407733043
BaseRepresentation
bin110110101011100110…
…0111001100101100000
3102020002200211120200200
41231113030321211200
53410442320211014
6125540102345200
711324645006664
oct1552714714540
9366080746620
10117427116384
1145889600626
121a91212b200
13b0c5149a26
14597d7628a4
1530c417ea09
hex1b57339960

117427116384 has 36 divisors (see below), whose sum is σ = 333933363036. Its totient is φ = 39142372032.

The previous prime is 117427116383. The next prime is 117427116403. The reversal of 117427116384 is 483611724711.

117427116384 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 2 + 7 + 1 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1174271163843 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117427116383) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 203866234 + ... + 203866809.

It is an arithmetic number, because the mean of its divisors is an integer number (9275926751).

Almost surely, 2117427116384 is an apocalyptic number.

It is an amenable number.

117427116384 is an abundant number, since it is smaller than the sum of its proper divisors (216506246652).

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

117427116384 is a wasteful number, since it uses less digits than its factorization.

117427116384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407733059 (or 407733048 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 117427116384 in words is "one hundred seventeen billion, four hundred twenty-seven million, one hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 407733043 815466086 1223199129 1630932172 2446398258 3261864344 3669597387 4892796516 6523728688 7339194774 9785593032 13047457376 14678389548 19571186064 29356779096 39142372128 58713558192 117427116384