Search a number
-
+
54014012200 = 23521017193719
BaseRepresentation
bin110010010011011111…
…000110101100101000
312011102022220010012101
4302103133012230220
51341110041342300
640451431423144
73621342346141
oct622337065450
9164368803171
1054014012200
11209a8557905
12a575224ab4
13512a559285
142885890ac8
151611e86b6a
hexc937c6b28

54014012200 has 96 divisors (see below), whose sum is σ = 127036512000. Its totient is φ = 21356192000.

The previous prime is 54014012119. The next prime is 54014012219. The reversal of 54014012200 is 221041045.

54014012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14521941 + ... + 14525659.

It is an arithmetic number, because the mean of its divisors is an integer number (1323297000).

Almost surely, 254014012200 is an apocalyptic number.

54014012200 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 54014012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63518256000).

54014012200 is an abundant number, since it is smaller than the sum of its proper divisors (73022499800).

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

54014012200 is a wasteful number, since it uses less digits than its factorization.

54014012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 54014012200 its reverse (221041045), we get a palindrome (54235053245).

The spelling of 54014012200 in words is "fifty-four billion, fourteen million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 719 808 1010 1438 2020 2525 2876 3595 3719 4040 5050 5752 7190 7438 10100 14380 14876 17975 18595 20200 28760 29752 35950 37190 71900 72619 74380 92975 143800 145238 148760 185950 290476 363095 371900 375619 580952 726190 743800 751238 1452380 1502476 1815475 1878095 2673961 2904760 3004952 3630950 3756190 5347922 7261900 7512380 9390475 10695844 13369805 14523800 15024760 18780950 21391688 26739610 37561900 53479220 66849025 75123800 106958440 133698050 267396100 270070061 534792200 540140122 1080280244 1350350305 2160560488 2700700610 5401401220 6751751525 10802802440 13503503050 27007006100 54014012200