Search a number
-
+
127131957888 = 27313178318049
BaseRepresentation
bin111011001100110100…
…1111011101010000000
3110011011001012121110220
41312121221323222000
54040331240123023
6134223103023040
712120306545355
oct1663151735200
9404131177426
10127131957888
1149a097486a1
122078029aa80
13bcb0942cb0
14622061262c
1534911883e3
hex1d99a7ba80

127131957888 has 256 divisors, whose sum is σ = 389724048000. Its totient is φ = 36370907136.

The previous prime is 127131957881. The next prime is 127131957907. The reversal of 127131957888 is 888759131721.

It is not an unprimeable number, because it can be changed into a prime (127131957881) 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 31 ways as a sum of consecutive naturals, for example, 7034688 + ... + 7052736.

Almost surely, 2127131957888 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 127131957888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194862024000).

127131957888 is an abundant number, since it is smaller than the sum of its proper divisors (262592090112).

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

127131957888 is a wasteful number, since it uses less digits than its factorization.

127131957888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18179 (or 18167 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 60.

The spelling of 127131957888 in words is "one hundred twenty-seven billion, one hundred thirty-one million, nine hundred fifty-seven thousand, eight hundred eighty-eight".