Search a number
-
+
54216545362600 = 23521492318165431
BaseRepresentation
bin11000101001111010001011…
…11011010110001010101000
321002222001101021011011012211
430110331011323112022220
524101240441103100400
6311150423114014504
714264005351560055
oct1424750573261250
9232861337134184
1054216545362600
1116303120486745
1260b7643417434
1324337a159c55a
14d561481a002c
1564046b8addba
hex314f45ed62a8

54216545362600 has 48 divisors (see below), whose sum is σ = 126061921833120. Its totient is φ = 21685163716800.

The previous prime is 54216545362561. The next prime is 54216545362601. The reversal of 54216545362600 is 626354561245.

54216545362600 is digitally balanced in base 2, 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 (54216545362601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6098116 + ... + 12067315.

It is an arithmetic number, because the mean of its divisors is an integer number (2626290038190).

Almost surely, 254216545362600 is an apocalyptic number.

54216545362600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54216545362600 is an abundant number, since it is smaller than the sum of its proper divisors (71845376470520).

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

54216545362600 is a wasteful number, since it uses less digits than its factorization.

54216545362600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18180370 (or 18180361 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 54216545362600 in words is "fifty-four trillion, two hundred sixteen billion, five hundred forty-five million, three hundred sixty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 14923 29846 59692 74615 119384 149230 298460 373075 596920 746150 1492300 2984600 18165431 36330862 72661724 90827155 145323448 181654310 363308620 454135775 726617240 908271550 1816543100 3633086200 271082726813 542165453626 1084330907252 1355413634065 2168661814504 2710827268130 5421654536260 6777068170325 10843309072520 13554136340650 27108272681300 54216545362600