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48624249060 = 223251811492457
BaseRepresentation
bin101101010010001110…
…110010100011100100
311122111201002210010100
4231102032302203210
51244040301432220
634200534224100
73340645204032
oct552216624344
9148451083110
1048624249060
1119692137002
1295101b5030
13477ba3170a
1424d3b31552
1513e8bded90
hexb523b28e4

48624249060 has 72 divisors (see below), whose sum is σ = 148308536376. Its totient is φ = 12894819840.

The previous prime is 48624249059. The next prime is 48624249067. The reversal of 48624249060 is 6094242684.

48624249060 is a `hidden beast` number, since 4 + 8 + 62 + 42 + 490 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 760435776 + 47863813284 = 27576^2 + 218778^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 48624248997 and 48624249015.

It is not an unprimeable number, because it can be changed into a prime (48624249067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713649 + ... + 778808.

It is an arithmetic number, because the mean of its divisors is an integer number (2059840783).

Almost surely, 248624249060 is an apocalyptic number.

It is an amenable number.

48624249060 is an abundant number, since it is smaller than the sum of its proper divisors (99684287316).

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

48624249060 is a wasteful number, since it uses less digits than its factorization.

48624249060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492653 (or 1492648 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 48624249060 in words is "forty-eight billion, six hundred twenty-four million, two hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 1492457 2984914 4477371 5969828 7462285 8954742 13432113 14924570 17909484 22386855 26864226 29849140 44773710 53728452 67160565 89547420 134321130 268642260 270134717 540269434 810404151 1080538868 1350673585 1620808302 2431212453 2701347170 3241616604 4052020755 4862424906 5402694340 8104041510 9724849812 12156062265 16208083020 24312124530 48624249060