Search a number
-
+
30771119168 = 268921125603
BaseRepresentation
bin11100101010000110…
…100000010001000000
32221102111021211000022
4130222012200101000
51001004401303133
622045215513012
72136352124456
oct345206402100
987374254008
1030771119168
11120605492a9
125b69228768
132b9507552a
1416bca169d6
15c01698998
hex72a1a0440

30771119168 has 56 divisors (see below), whose sum is σ = 62042588640. Its totient is φ = 15139998720.

The previous prime is 30771119167. The next prime is 30771119177. The reversal of 30771119168 is 86191117703.

It is not an unprimeable number, because it can be changed into a prime (30771119167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1189055 + ... + 1214657.

Almost surely, 230771119168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30771119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31021294320).

30771119168 is an abundant number, since it is smaller than the sum of its proper divisors (31271469472).

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

30771119168 is a wasteful number, since it uses less digits than its factorization.

30771119168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25915 (or 25905 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 44.

The spelling of 30771119168 in words is "thirty billion, seven hundred seventy-one million, one hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 178 211 356 422 712 844 1424 1688 2848 3376 5696 6752 13504 18779 25603 37558 51206 75116 102412 150232 204824 300464 409648 600928 819296 1201856 1638592 2278667 4557334 5402233 9114668 10804466 18229336 21608932 36458672 43217864 72917344 86435728 145834688 172871456 345742912 480798737 961597474 1923194948 3846389896 7692779792 15385559584 30771119168