Search a number
-
+
120785326268319 = 32137151648745193
BaseRepresentation
bin11011011101101010000110…
…011101110101111110011111
3120211122222001001200222020100
4123131222012131311332133
5111312421322011041234
61104520002440152143
734304310661263306
oct3335520635657637
9524588031628210
10120785326268319
11355388508a2129
1211669009468653
13525201332467b
1421b808066143d
15de6d845d0399
hex6dda86775f9f

120785326268319 has 24 divisors (see below), whose sum is σ = 176905029461472. Its totient is φ = 79406411500800.

The previous prime is 120785326268297. The next prime is 120785326268359. The reversal of 120785326268319 is 913862623587021.

120785326268319 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 8 + 53 + 2 + 6 + 268 + 319 = 666.

It is not a de Polignac number, because 120785326268319 - 29 = 120785326267807 is a prime.

It is a super-2 number, since 2×1207853262683192 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120785326268359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324186414 + ... + 324558779.

It is an arithmetic number, because the mean of its divisors is an integer number (7371042894228).

Almost surely, 2120785326268319 is an apocalyptic number.

120785326268319 is a deficient number, since it is larger than the sum of its proper divisors (56119703193153).

120785326268319 is a wasteful number, since it uses less digits than its factorization.

120785326268319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648745487 (or 648745484 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 120785326268319 in words is "one hundred twenty trillion, seven hundred eighty-five billion, three hundred twenty-six million, two hundred sixty-eight thousand, three hundred nineteen".

Divisors: 1 3 9 137 151 411 453 1233 1359 20687 62061 186183 648745193 1946235579 5838706737 88878091441 97960524143 266634274323 293881572429 799902822969 881644717287 13420591807591 40261775422773 120785326268319