Search a number
-
+
54455230000 = 24545992297
BaseRepresentation
bin110010101101110010…
…001101111000110000
312012120002010022020101
4302231302031320300
51343011014330000
641003312322144
73635310550333
oct625562157060
9165502108211
1054455230000
1121104615316
12a678b43354
13519aa9c7b2
1428c830461a
15163aa8ce6a
hexcadc8de30

54455230000 has 100 divisors (see below), whose sum is σ = 134077612680. Its totient is φ = 21412672000.

The previous prime is 54455229977. The next prime is 54455230007. The reversal of 54455230000 is 3255445.

54455230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×544552300003 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54455230007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 543852 + ... + 636148.

Almost surely, 254455230000 is an apocalyptic number.

54455230000 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 54455230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67038806340).

54455230000 is an abundant number, since it is smaller than the sum of its proper divisors (79622382680).

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

54455230000 is an equidigital number, since it uses as much as digits as its factorization.

54455230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92384 (or 92363 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

Adding to 54455230000 its reverse (3255445), we get a palindrome (54458485445).

The spelling of 54455230000 in words is "fifty-four billion, four hundred fifty-five million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 625 944 1000 1180 1250 1475 2000 2360 2500 2950 4720 5000 5900 7375 10000 11800 14750 23600 29500 36875 59000 73750 92297 118000 147500 184594 295000 369188 461485 590000 738376 922970 1476752 1845940 2307425 3691880 4614850 5445523 7383760 9229700 10891046 11537125 18459400 21782092 23074250 27227615 36918800 43564184 46148500 54455230 57685625 87128368 92297000 108910460 115371250 136138075 184594000 217820920 230742500 272276150 435641840 461485000 544552300 680690375 922970000 1089104600 1361380750 2178209200 2722761500 3403451875 5445523000 6806903750 10891046000 13613807500 27227615000 54455230000