Search a number
-
+
128019757888 = 2611239741641
BaseRepresentation
bin111011100111010010…
…0100111101101000000
3110020102220202112010101
41313032210213231000
54044141024223023
6134451135412144
712151306662511
oct1671644475500
9406386675111
10128019757888
114a3248a7a00
1220989684054
13c0c2857639
1462a64b4a08
1534e40a51ad
hex1dce927b40

128019757888 has 84 divisors (see below), whose sum is σ = 279943258756. Its totient is φ = 58042828800.

The previous prime is 128019757883. The next prime is 128019757897. The reversal of 128019757888 is 888757910821.

It can be written as a sum of positive squares in 2 ways, for example, as 114547048704 + 13472709184 = 338448^2 + 116072^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128019757883) 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 11 ways as a sum of consecutive naturals, for example, 3053548 + ... + 3095188.

Almost surely, 2128019757888 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 128019757888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139971629378).

128019757888 is an abundant number, since it is smaller than the sum of its proper divisors (151923500868).

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

128019757888 is a wasteful number, since it uses less digits than its factorization.

128019757888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42072 (or 42051 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 64.

The spelling of 128019757888 in words is "one hundred twenty-eight billion, nineteen million, seven hundred fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 397 484 704 794 968 1588 1936 3176 3872 4367 6352 7744 8734 12704 17468 25408 34936 41641 48037 69872 83282 96074 139744 166564 192148 279488 333128 384296 458051 666256 768592 916102 1332512 1537184 1832204 2665024 3074368 3664408 5038561 7328816 10077122 14657632 16531477 20154244 29315264 33062954 40308488 66125908 80616976 132251816 161233952 181846247 264503632 322467904 363692494 529007264 727384988 1058014528 1454769976 2000308717 2909539952 4000617434 5819079904 8001234868 11638159808 16002469736 32004939472 64009878944 128019757888