Search a number
-
+
128067289008 = 24319463303293
BaseRepresentation
bin111011101000101100…
…1111011111110110000
3110020120020012100120020
41313101121323332300
54044240211222013
6134455554243440
712152424665301
oct1672131737660
9406506170506
10128067289008
114a34971181a
12209a1586580
13c0cc65a069
1462ac9287a8
1534e8343623
hex1dd167bfb0

128067289008 has 80 divisors (see below), whose sum is σ = 349006471680. Its totient is φ = 40354820352.

The previous prime is 128067288991. The next prime is 128067289111. The reversal of 128067289008 is 800982760821.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 270610 + ... + 573902.

It is an arithmetic number, because the mean of its divisors is an integer number (4362580896).

Almost surely, 2128067289008 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 128067289008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174503235840).

128067289008 is an abundant number, since it is smaller than the sum of its proper divisors (220939182672).

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

128067289008 is a wasteful number, since it uses less digits than its factorization.

128067289008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303786 (or 303780 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 128067289008 in words is "one hundred twenty-eight billion, sixty-seven million, two hundred eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 463 912 926 1389 1852 2778 3704 5556 7408 8797 11112 17594 22224 26391 35188 52782 70376 105564 140752 211128 303293 422256 606586 909879 1213172 1819758 2426344 3639516 4852688 5762567 7279032 11525134 14558064 17287701 23050268 34575402 46100536 69150804 92201072 138301608 140424659 276603216 280849318 421273977 561698636 842547954 1123397272 1685095908 2246794544 2668068521 3370191816 5336137042 6740383632 8004205563 10672274084 16008411126 21344548168 32016822252 42689096336 64033644504 128067289008