Search a number
-
+
128700249732 = 22343731064941
BaseRepresentation
bin111011111011100100…
…0011111011010000100
3110022012100020002110000
41313313020133122010
54102034230442412
6135042445001300
712204212033655
oct1676710373204
9408170202400
10128700249732
114a643a3255a
1220b39553230
13c1a0826432
14632ca1152c
153533bc24dc
hex1df721f684

128700249732 has 60 divisors (see below), whose sum is σ = 337350196876. Its totient is φ = 42785029440.

The previous prime is 128700249731. The next prime is 128700249737. The reversal of 128700249732 is 237942007821.

128700249732 is a `hidden beast` number, since 128 + 7 + 0 + 0 + 2 + 497 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97284105216 + 31416144516 = 311904^2 + 177246^2 .

It is not an unprimeable number, because it can be changed into a prime (128700249731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 411619 + ... + 653322.

Almost surely, 2128700249732 is an apocalyptic number.

128700249732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128700249732 is an abundant number, since it is smaller than the sum of its proper divisors (208649947144).

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

128700249732 is a wasteful number, since it uses less digits than its factorization.

128700249732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065330 (or 1065319 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 128700249732 in words is "one hundred twenty-eight billion, seven hundred million, two hundred forty-nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 373 746 1119 1492 2238 3357 4476 6714 10071 13428 20142 30213 40284 60426 120852 1064941 2129882 3194823 4259764 6389646 9584469 12779292 19168938 28753407 38337876 57506814 86260221 115013628 172520442 345040884 397222993 794445986 1191668979 1588891972 2383337958 3575006937 4766675916 7150013874 10725020811 14300027748 21450041622 32175062433 42900083244 64350124866 128700249732