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4977185300 = 2252197317797
BaseRepresentation
bin1001010001010100…
…11101001000010100
3110211212110012200022
410220222131020110
540143124412200
62141514204312
7234224243213
oct45052351024
913755405608
104977185300
112124544a8a
12b6aa23698
13614201279
1435304307a
151e1e4b885
hex128a9d214

4977185300 has 72 divisors (see below), whose sum is σ = 10903224024. Its totient is φ = 1972042240.

The previous prime is 4977185287. The next prime is 4977185309. The reversal of 4977185300 is 35817794.

It can be written as a sum of positive squares in 12 ways, for example, as 1119036304 + 3858148996 = 33452^2 + 62114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977185309) 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 23 ways as a sum of consecutive naturals, for example, 6244502 + ... + 6245298.

It is an arithmetic number, because the mean of its divisors is an integer number (151433667).

Almost surely, 24977185300 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 4977185300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451612012).

4977185300 is an abundant number, since it is smaller than the sum of its proper divisors (5926038724).

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

4977185300 is a wasteful number, since it uses less digits than its factorization.

4977185300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 4977185300 is about 70549.1693785263. The cubic root of 4977185300 is about 1707.3711415784.

The spelling of 4977185300 in words is "four billion, nine hundred seventy-seven million, one hundred eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 317 394 634 788 797 985 1268 1585 1594 1970 3170 3188 3940 3985 4925 6340 7925 7970 9850 15850 15940 19700 19925 31700 39850 62449 79700 124898 157009 249796 252649 312245 314018 505298 624490 628036 785045 1010596 1248980 1263245 1561225 1570090 2526490 3122450 3140180 3925225 5052980 6244900 6316225 7850450 12632450 15700900 25264900 49771853 99543706 199087412 248859265 497718530 995437060 1244296325 2488592650 4977185300