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48480205368 = 23372353236729
BaseRepresentation
bin101101001001101001…
…010011101000111000
311122010200001121022210
4231021221103220320
51243241413032433
634134351015120
73334245642420
oct551151235070
9148120047283
1048480205368
11196188a2931
12948bb0a4a0
134757c3996a
1424bc957480
1513db23a463
hexb49a53a38

48480205368 has 128 divisors (see below), whose sum is σ = 147264998400. Its totient is φ = 12999207936.

The previous prime is 48480205363. The next prime is 48480205387. The reversal of 48480205368 is 86350208484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48480205363) 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 31 ways as a sum of consecutive naturals, for example, 86428 + ... + 323156.

It is an arithmetic number, because the mean of its divisors is an integer number (1150507800).

Almost surely, 248480205368 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 48480205368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73632499200).

48480205368 is an abundant number, since it is smaller than the sum of its proper divisors (98784793032).

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

48480205368 is a wasteful number, since it uses less digits than its factorization.

48480205368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236821 (or 236817 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 48480205368 in words is "forty-eight billion, four hundred eighty million, two hundred five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 53 56 69 84 92 106 138 159 161 168 184 212 276 318 322 371 424 483 552 636 644 742 966 1113 1219 1272 1288 1484 1932 2226 2438 2968 3657 3864 4452 4876 7314 8533 8904 9752 14628 17066 25599 29256 34132 51198 68264 102396 204792 236729 473458 710187 946916 1420374 1657103 1893832 2840748 3314206 4971309 5444767 5681496 6628412 9942618 10889534 12546637 13256824 16334301 19885236 21779068 25093274 32668602 37639911 38113369 39770472 43558136 50186548 65337204 75279822 76226738 87826459 100373096 114340107 130674408 150559644 152453476 175652918 228680214 263479377 288572651 301119288 304906952 351305836 457360428 526958754 577145302 702611672 865717953 914720856 1053917508 1154290604 1731435906 2020008557 2107835016 2308581208 3462871812 4040017114 6060025671 6925743624 8080034228 12120051342 16160068456 24240102684 48480205368