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54550324314 = 2342931736629
BaseRepresentation
bin110010110011011100…
…111110010001011010
312012210201001121010000
4302303130332101122
51343204340334224
641020550433430
73640544051253
oct626334762132
9165721047100
1054550324314
1121153266062
12a6a4962876
1351b46b6415
1428d6bb9b2a
1516440c40c9
hexcb373e45a

54550324314 has 80 divisors (see below), whose sum is σ = 126850422600. Its totient is φ = 17500565376.

The previous prime is 54550324289. The next prime is 54550324327. The reversal of 54550324314 is 41342305545.

54550324314 is a `hidden beast` number, since 54 + 550 + 3 + 2 + 43 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46987065225 + 7563259089 = 216765^2 + 86967^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1470952 + ... + 1507580.

Almost surely, 254550324314 is an apocalyptic number.

54550324314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54550324314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63425211300).

54550324314 is an abundant number, since it is smaller than the sum of its proper divisors (72300098286).

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

54550324314 is a wasteful number, since it uses less digits than its factorization.

54550324314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36989 (or 36980 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 54550324314 its reverse (41342305545), we get a palindrome (95892629859).

The spelling of 54550324314 in words is "fifty-four billion, five hundred fifty million, three hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 317 522 634 783 951 1566 1902 2349 2853 4698 5706 8559 9193 17118 18386 25677 27579 36629 51354 55158 73258 82737 109887 165474 219774 248211 329661 496422 659322 744633 988983 1062241 1489266 1977966 2124482 2966949 3186723 5933898 6373446 9560169 11611393 19120338 23222786 28680507 34834179 57361014 69668358 86041521 104502537 172083042 209005074 313507611 336730397 627015222 673460794 940522833 1010191191 1881045666 2020382382 3030573573 6061147146 9091720719 18183441438 27275162157 54550324314