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54277480836 = 2234415377093
BaseRepresentation
bin110010100011001100…
…001010000110000100
312012002200122201020000
4302203030022012010
51342130013341321
640533522441300
73631021655235
oct624314120604
9165080581200
1054277480836
112102324a787
12a629503230
135170006287
1428ac87508c
15162a17b826
hexca330a184

54277480836 has 120 divisors (see below), whose sum is σ = 148097265624. Its totient is φ = 17317946880.

The previous prime is 54277480771. The next prime is 54277480837. The reversal of 54277480836 is 63808477245.

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 53958644100 = 17856^2 + 232290^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54277480837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 665506 + ... + 742598.

Almost surely, 254277480836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54277480836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74048632812).

54277480836 is an abundant number, since it is smaller than the sum of its proper divisors (93819784788).

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

54277480836 is a wasteful number, since it uses less digits than its factorization.

54277480836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77203 (or 77192 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 54277480836 in words is "fifty-four billion, two hundred seventy-seven million, four hundred eighty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 53 54 81 82 106 108 123 159 162 164 212 246 318 324 369 477 492 636 738 954 1107 1431 1476 1908 2173 2214 2862 3321 4293 4346 4428 5724 6519 6642 8586 8692 13038 13284 17172 19557 26076 39114 58671 77093 78228 117342 154186 176013 231279 234684 308372 352026 462558 693837 704052 925116 1387674 2081511 2775348 3160813 4085929 4163022 6244533 6321626 8171858 8326044 9482439 12257787 12489066 12643252 16343716 18964878 24515574 24978132 28447317 36773361 37929756 49031148 56894634 73546722 85341951 110320083 113789268 147093444 167523089 170683902 220640166 256025853 330960249 335046178 341367804 441280332 502569267 512051706 661920498 670092356 1005138534 1024103412 1323840996 1507707801 2010277068 3015415602 4523123403 6030831204 9046246806 13569370209 18092493612 27138740418 54277480836