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48904656705 = 3254131783617
BaseRepresentation
bin101101100010111100…
…011101011101000001
311200020020201222002200
4231202330131131001
51300124043003310
634244432303413
73350621503032
oct554274353501
9150206658080
1048904656705
1119816449463
12958a0a1b69
1347c4b5c7b8
14251d084a89
15141362d9c0
hexb62f1d741

48904656705 has 48 divisors (see below), whose sum is σ = 87110556624. Its totient is φ = 25365749760.

The previous prime is 48904656679. The next prime is 48904656709. The reversal of 48904656705 is 50765640984.

48904656705 is a `hidden beast` number, since 489 + 0 + 46 + 56 + 70 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11220529329 + 37684127376 = 105927^2 + 194124^2 .

It is not a de Polignac number, because 48904656705 - 220 = 48903608129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48904656709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543057 + ... + 626673.

It is an arithmetic number, because the mean of its divisors is an integer number (1814803263).

Almost surely, 248904656705 is an apocalyptic number.

48904656705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48904656705 is a deficient number, since it is larger than the sum of its proper divisors (38205899919).

48904656705 is a wasteful number, since it uses less digits than its factorization.

48904656705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83986 (or 83983 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 48904656705 in words is "forty-eight billion, nine hundred four million, six hundred fifty-six thousand, seven hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 317 369 615 951 1585 1845 2853 4755 12997 14265 38991 64985 83617 116973 194955 250851 418085 584865 752553 1254255 3428297 3762765 10284891 17141485 26506589 30854673 51424455 79519767 132532945 154273365 238559301 397598835 1086770149 1192796505 3260310447 5433850745 9780931341 16301552235 48904656705