Search a number
-
+
76621033061000 = 2353727507720759
BaseRepresentation
bin10001011010111110111001…
…011101010011101010001000
3101001021220021112102120201022
4101122332321131103222020
540020324333430423000
6430543114444212012
722065454425044621
oct2132767135235210
9331256245376638
1076621033061000
112246088572510a
128715804b3a008
13339a44241310c
1414cc699096a48
158cd1500c9585
hex45afb9753a88

76621033061000 has 128 divisors (see below), whose sum is σ = 179583851865600. Its totient is φ = 30598753363200.

The previous prime is 76621033060981. The next prime is 76621033061003. The reversal of 76621033061000 is 16033012667.

76621033061000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (76621033061003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3690968621 + ... + 3690989379.

It is an arithmetic number, because the mean of its divisors is an integer number (1402998842700).

Almost surely, 276621033061000 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 76621033061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89791925932800).

76621033061000 is an abundant number, since it is smaller than the sum of its proper divisors (102962818804600).

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

76621033061000 is a wasteful number, since it uses less digits than its factorization.

76621033061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26584 (or 26570 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

Adding to 76621033061000 its reverse (16033012667), we get a palindrome (76637066073667).

The spelling of 76621033061000 in words is "seventy-six trillion, six hundred twenty-one billion, thirty-three million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 727 1000 1454 2908 3635 5077 5816 7270 10154 14540 18175 20308 20759 25385 29080 36350 40616 41518 50770 72700 83036 90875 101540 103795 126925 145400 166072 181750 203080 207590 253850 363500 415180 507700 518975 634625 727000 830360 1015400 1037950 1269250 2075900 2538500 2594875 3690979 4151800 5077000 5189750 7381958 10379500 14763916 15091793 18454895 20759000 29527832 30183586 36909790 60367172 73819580 75458965 92274475 105393443 120734344 147639160 150917930 184548950 210786886 301835860 369097900 377294825 421573772 461372375 526967215 603671720 738195800 754589650 843147544 922744750 1053934430 1509179300 1845489500 1886474125 2107868860 2634836075 3018358600 3690979000 3772948250 4215737720 5269672150 7545896500 10539344300 13174180375 15091793000 21078688600 26348360750 52696721500 76621033061 105393443000 153242066122 306484132244 383105165305 612968264488 766210330610 1532420661220 1915525826525 3064841322440 3831051653050 7662103306100 9577629132625 15324206612200 19155258265250 38310516530500 76621033061000