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117344610432 = 27327219236771
BaseRepresentation
bin110110101001001001…
…0001010100010000000
3102012212221120211210200
41231102102022202000
53410310210013212
6125523554125200
711322623505600
oct1552222124200
9365787524720
10117344610432
1145846a78695
121a8aa580800
13b0b101cb3a
145972806c00
1530bbcd36dc
hex1b5248a880

117344610432 has 1152 divisors, whose sum is σ = 444059366400. Its totient is φ = 29506498560.

The previous prime is 117344610373. The next prime is 117344610469. The reversal of 117344610432 is 234016443711.

117344610432 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 4 + 4 + 610 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 1652740957 + ... + 1652741027.

It is an arithmetic number, because the mean of its divisors is an integer number (385468200).

Almost surely, 2117344610432 is an apocalyptic number.

117344610432 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 117344610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222029683200).

117344610432 is an abundant number, since it is smaller than the sum of its proper divisors (326714755968).

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

117344610432 is a wasteful number, since it uses less digits than its factorization.

117344610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 117344610432 in words is "one hundred seventeen billion, three hundred forty-four million, six hundred ten thousand, four hundred thirty-two".