Search a number
-
+
12803512920 = 2335119699631
BaseRepresentation
bin10111110110010011…
…00001101001011000
31020001022001211212020
423323021201221120
5202210144403140
65514251414440
7632166031002
oct137311415130
936038054766
1012803512920
115480281840
122593a54420
131290777663
1489661d372
154ee08d6d0
hex2fb261a58

12803512920 has 64 divisors (see below), whose sum is σ = 41902410240. Its totient is φ = 3103881600.

The previous prime is 12803512907. The next prime is 12803512937. The reversal of 12803512920 is 2921530821.

It is a happy number.

12803512920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4848496 + ... + 4851135.

It is an arithmetic number, because the mean of its divisors is an integer number (654725160).

Almost surely, 212803512920 is an apocalyptic number.

12803512920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12803512920 is an abundant number, since it is smaller than the sum of its proper divisors (29098897320).

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

12803512920 is a wasteful number, since it uses less digits than its factorization.

12803512920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9699656 (or 9699652 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 12803512920 in words is "twelve billion, eight hundred three million, five hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9699631 19399262 29098893 38798524 48498155 58197786 77597048 96996310 106695941 116395572 145494465 193992620 213391882 232791144 290988930 320087823 387985240 426783764 533479705 581977860 640175646 853567528 1066959410 1163955720 1280351292 1600439115 2133918820 2560702584 3200878230 4267837640 6401756460 12803512920