Search a number
-
+
117394069580928 = 2732722994767129
BaseRepresentation
bin11010101100010011101111…
…110100001110110010000000
3120101122202121112221121220100
4122230103233310032302000
5110341341023303042203
61053402031400042400
733504304324122420
oct3254235764166200
9511582545847810
10117394069580928
11344505aa904248
12111bb910463400
1350672a06c21ba
1420dbc90880480
15d88a50d68ea3
hex6ac4efd0ec80

117394069580928 has 384 divisors, whose sum is σ = 388173908304000. Its totient is φ = 33358934163456.

The previous prime is 117394069580899. The next prime is 117394069580947. The reversal of 117394069580928 is 829085960493711.

117394069580928 is a `hidden beast` number, since 1 + 1 + 7 + 39 + 4 + 0 + 6 + 9 + 580 + 9 + 2 + 8 = 666.

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 (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748749668 + ... + 1748816796.

It is an arithmetic number, because the mean of its divisors is an integer number (1010869552875).

It is a 1-persistent number, because it is pandigital, but 2⋅117394069580928 = 234788139161856 is not.

Almost surely, 2117394069580928 is an apocalyptic number.

117394069580928 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 117394069580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194086954152000).

117394069580928 is an abundant number, since it is smaller than the sum of its proper divisors (270779838723072).

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

117394069580928 is a wasteful number, since it uses less digits than its factorization.

117394069580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68332 (or 68317 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 117394069580928 in words is "one hundred seventeen trillion, three hundred ninety-four billion, sixty-nine million, five hundred eighty thousand, nine hundred twenty-eight".