Search a number
-
+
48913555680 = 25325113087977
BaseRepresentation
bin101101100011011110…
…011010000011100000
311200020212111002012100
4231203132122003200
51300133332240210
634245351130400
73351060235413
oct554336320340
9150225432170
1048913555680
1119820477390
129591073a00
1347c6957172
14252031db7a
1514142da5c0
hexb6379a0e0

48913555680 has 144 divisors (see below), whose sum is σ = 182091886704. Its totient is φ = 11857827840.

The previous prime is 48913555679. The next prime is 48913555723. The reversal of 48913555680 is 8655531984.

48913555680 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 3 + 5 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1528149 + ... + 1559828.

It is an arithmetic number, because the mean of its divisors is an integer number (1264526991).

Almost surely, 248913555680 is an apocalyptic number.

48913555680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48913555680 is an abundant number, since it is smaller than the sum of its proper divisors (133178331024).

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

48913555680 is a wasteful number, since it uses less digits than its factorization.

48913555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088009 (or 3087998 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 48913555680 in words is "forty-eight billion, nine hundred thirteen million, five hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 3087977 6175954 9263931 12351908 15439885 18527862 24703816 27791793 30879770 33967747 37055724 46319655 49407632 55583586 61759540 67935494 74111448 92639310 98815264 101903241 111167172 123519080 135870988 138958965 148222896 169838735 185278620 203806482 222334344 247038160 271741976 277917930 296445792 305709723 339677470 370557240 407612964 444668688 494076320 509516205 543483952 555835860 611419446 679354940 741114480 815225928 889337376 1019032410 1086967904 1111671720 1222838892 1358709880 1482228960 1528548615 1630451856 2038064820 2223343440 2445677784 2717419760 3057097230 3260903712 4076129640 4446686880 4891355568 5434839520 6114194460 8152259280 9782711136 12228388920 16304518560 24456777840 48913555680