Search a number
-
+
67780623900 = 2235211127161729
BaseRepresentation
bin111111001000000010…
…100011111000011100
320110221202012110012210
4333020002203320130
52102303314431100
651045450000420
74616444540253
oct771002437034
9213852173183
1067780623900
1126822438a50
1211177716110
1365126c0862
1433cdd7379a
151b6a867c50
hexfc80a3e1c

67780623900 has 144 divisors (see below), whose sum is σ = 215626199040. Its totient is φ = 16302182400.

The previous prime is 67780623877. The next prime is 67780623913. The reversal of 67780623900 is 932608776.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67780623900.

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 47 ways as a sum of consecutive naturals, for example, 338236 + ... + 499964.

It is an arithmetic number, because the mean of its divisors is an integer number (1497404160).

Almost surely, 267780623900 is an apocalyptic number.

67780623900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67780623900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107813099520).

67780623900 is an abundant number, since it is smaller than the sum of its proper divisors (147845575140).

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

67780623900 is a wasteful number, since it uses less digits than its factorization.

67780623900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161884 (or 161877 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 67780623900 in words is "sixty-seven billion, seven hundred eighty million, six hundred twenty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 127 132 150 165 220 254 275 300 330 381 508 550 635 660 762 825 1100 1270 1397 1524 1650 1905 2540 2794 3175 3300 3810 4191 5588 6350 6985 7620 8382 9525 12700 13970 16764 19050 20955 27940 34925 38100 41910 69850 83820 104775 139700 161729 209550 323458 419100 485187 646916 808645 970374 1617290 1779019 1940748 2425935 3234580 3558038 4043225 4851870 5337057 7116076 8086450 8895095 9703740 10674114 12129675 16172900 17790190 20539583 21348228 24259350 26685285 35580380 41079166 44475475 48518700 53370570 61618749 82158332 88950950 102697915 106741140 123237498 133426425 177901900 205395830 225935413 246474996 266852850 308093745 410791660 451870826 513489575 533705700 616187490 677806239 903741652 1026979150 1129677065 1232374980 1355612478 1540468725 2053958300 2259354130 2711224956 3080937450 3389031195 4518708260 5648385325 6161874900 6778062390 11296770650 13556124780 16945155975 22593541300 33890311950 67780623900