Search a number
-
+
48105861660 = 22335101882029
BaseRepresentation
bin101100110011010101…
…010011001000011100
311121011120122222022000
4230303111103020130
51242010100033120
634033255322300
73322052035353
oct546325231034
9147146588260
1048105861660
111944656096a
1293a6680390
1346c850c1cc
142484d5099a
1513b8443990
hexb3355321c

48105861660 has 96 divisors (see below), whose sum is σ = 151144660800. Its totient is φ = 12701203200.

The previous prime is 48105861653. The next prime is 48105861733. The reversal of 48105861660 is 6616850184.

48105861660 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 586 + 1 + 6 + 60 = 666.

It is a super-3 number, since 3×481058616603 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 386475 + ... + 495554.

It is an arithmetic number, because the mean of its divisors is an integer number (1574423550).

Almost surely, 248105861660 is an apocalyptic number.

It is an amenable number.

48105861660 is an abundant number, since it is smaller than the sum of its proper divisors (103038799140).

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

48105861660 is a wasteful number, since it uses less digits than its factorization.

48105861660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882148 (or 882140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 48105861660 in words is "forty-eight billion, one hundred five million, eight hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 6060 9090 10908 13635 18180 27270 54540 882029 1764058 2646087 3528116 4410145 5292174 7938261 8820290 10584348 13230435 15876522 17640580 23814783 26460870 31753044 39691305 47629566 52921740 79382610 89084929 95259132 119073915 158765220 178169858 238147830 267254787 356339716 445424645 476295660 534509574 801764361 890849290 1069019148 1336273935 1603528722 1781698580 2405293083 2672547870 3207057444 4008821805 4810586166 5345095740 8017643610 9621172332 12026465415 16035287220 24052930830 48105861660