Search a number
-
+
84848478456 = 23371747036317
BaseRepresentation
bin100111100000101011…
…1010000100011111000
322010000020101022002010
41033001113100203320
52342232202302311
6102551233205520
76062424111210
oct1170127204370
9263006338063
1084848478456
1132a90832775
121453b7008a0
138002781091
14416ca77240
152318e94da6
hex13c15d08f8

84848478456 has 128 divisors (see below), whose sum is σ = 256779694080. Its totient is φ = 22807934976.

The previous prime is 84848478401. The next prime is 84848478493. The reversal of 84848478456 is 65487484848.

It is a super-2 number, since 2×848484784562 (a number of 23 digits) contains 22 as substring.

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, 13428610 + ... + 13434926.

It is an arithmetic number, because the mean of its divisors is an integer number (2006091360).

Almost surely, 284848478456 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 84848478456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128389847040).

84848478456 is an abundant number, since it is smaller than the sum of its proper divisors (171931215624).

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

84848478456 is a wasteful number, since it uses less digits than its factorization.

84848478456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11049 counting only the distinct ones).

The product of its digits is 220200960, while the sum is 66.

The spelling of 84848478456 in words is "eighty-four billion, eight hundred forty-eight million, four hundred seventy-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 4703 6317 9406 12634 14109 18812 18951 25268 28218 32921 37624 37902 44219 50536 56436 65842 75804 79951 88438 98763 107389 112872 131684 132657 151608 159902 176876 197526 214778 239853 263368 265314 319804 322167 353752 395052 429556 479706 530628 559657 639608 644334 751723 790104 859112 959412 1061256 1119314 1288668 1503446 1678971 1918824 2238628 2255169 2577336 3006892 3357942 4477256 4510338 6013784 6715884 9020676 13431768 18041352 29708851 59417702 89126553 118835404 178253106 207961957 237670808 356506212 415923914 505050467 623885871 713012424 831847828 1010100934 1247771742 1515151401 1663695656 2020201868 2495543484 3030302802 3535353269 4040403736 4991086968 6060605604 7070706538 10606059807 12121211208 14141413076 21212119614 28282826152 42424239228 84848478456