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486300628674 = 23272312573737
BaseRepresentation
bin1110001001110011100…
…01101011011011000010
31201111020010102112200100
413010321301223123002
530431420430104144
61011223050103230
750063661066300
oct7047161533302
91644203375610
10486300628674
1117826a033013
127a2b911ab16
1336b1cbc9bb3
1419773a45270
15c9b30d5269
hex7139c6b6c2

486300628674 has 108 divisors (see below), whose sum is σ = 1266491636982. Its totient is φ = 134460768960.

The previous prime is 486300628673. The next prime is 486300628679. The reversal of 486300628674 is 476826003684.

486300628674 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 0 + 0 + 628 + 6 + 7 + 4 = 666.

486300628674 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 354816792225 + 131483836449 = 595665^2 + 362607^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 486300628674.

It is not an unprimeable number, because it can be changed into a prime (486300628673) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 560734 + ... + 1134470.

Almost surely, 2486300628674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486300628674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633245818491).

486300628674 is an abundant number, since it is smaller than the sum of its proper divisors (780191008308).

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

486300628674 is a wasteful number, since it uses less digits than its factorization.

486300628674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573821 (or 573780 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 486300628674 in words is "four hundred eighty-six billion, three hundred million, six hundred twenty-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 961 1302 1519 1922 1953 2883 3038 3906 4557 5766 6727 8649 9114 13454 13671 17298 20181 27342 40362 47089 60543 94178 121086 141267 282534 423801 573737 847602 1147474 1721211 3442422 4016159 5163633 8032318 10327266 12048477 17785847 24096954 28113113 35571694 36145431 53357541 56226226 72290862 84339339 106715082 124500929 160072623 168678678 249001858 253018017 320145246 373502787 506036034 551361257 747005574 871506503 1102722514 1120508361 1654083771 1743013006 2241016722 2614519509 3308167542 3859528799 4962251313 5229039018 7719057598 7843558527 9924502626 11578586397 15687117054 23157172794 27016701593 34735759191 54033403186 69471518382 81050104779 162100209558 243150314337 486300628674