Search a number
-
+
54534516200 = 23522234312837
BaseRepresentation
bin110010110010100000…
…101010110111101000
312012202121022110110022
4302302200222313220
51343141314004300
641015223540012
73640262511413
oct626240526750
9165677273408
1054534516200
11211453491aa
12a69b5ba608
1351b133ccc8
1428d4a62b7a
151642a00285
hexcb282ade8

54534516200 has 96 divisors (see below), whose sum is σ = 127701826560. Its totient is φ = 21657964800.

The previous prime is 54534516199. The next prime is 54534516217. The reversal of 54534516200 is 261543545.

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 23 ways as a sum of consecutive naturals, for example, 19221182 + ... + 19224018.

It is an arithmetic number, because the mean of its divisors is an integer number (1330227360).

Almost surely, 254534516200 is an apocalyptic number.

54534516200 is a gapful number since it is divisible by the number (50) 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 54534516200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63850913280).

54534516200 is an abundant number, since it is smaller than the sum of its proper divisors (73167310360).

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

54534516200 is a wasteful number, since it uses less digits than its factorization.

54534516200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 54534516200 in words is "fifty-four billion, five hundred thirty-four million, five hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 431 446 862 892 1115 1724 1784 2155 2230 2837 3448 4310 4460 5575 5674 8620 8920 10775 11150 11348 14185 17240 21550 22300 22696 28370 43100 44600 56740 70925 86200 96113 113480 141850 192226 283700 384452 480565 567400 632651 768904 961130 1222747 1265302 1922260 2402825 2445494 2530604 3163255 3844520 4805650 4890988 5061208 6113735 6326510 9611300 9781976 12227470 12653020 15816275 19222600 24454940 25306040 30568675 31632550 48909880 61137350 63265100 122274700 126530200 244549400 272672581 545345162 1090690324 1363362905 2181380648 2726725810 5453451620 6816814525 10906903240 13633629050 27267258100 54534516200