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48530722560 = 283541308249
BaseRepresentation
bin101101001100101010…
…000000111100000000
311122021012010010212220
4231030222000330000
51243342331110220
634143353451040
73335431223025
oct551452007400
9148235103786
1048530722560
1119644367181
1294a4a10a80
1347655465a8
1424c554754c
1513e08b8540
hexb4ca80f00

48530722560 has 144 divisors (see below), whose sum is σ = 158775876000. Its totient is φ = 12625838080.

The previous prime is 48530722531. The next prime is 48530722589. The reversal of 48530722560 is 6522703584.

It is an interprime number because it is at equal distance from previous prime (48530722531) and next prime (48530722589).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3316 + ... + 311564.

It is an arithmetic number, because the mean of its divisors is an integer number (1102610250).

Almost surely, 248530722560 is an apocalyptic number.

48530722560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48530722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387938000).

48530722560 is an abundant number, since it is smaller than the sum of its proper divisors (110245153440).

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

48530722560 is a wasteful number, since it uses less digits than its factorization.

48530722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308314 (or 308300 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 48530722560 in words is "forty-eight billion, five hundred thirty million, seven hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 615 640 656 768 820 960 984 1230 1280 1312 1640 1920 1968 2460 2624 3280 3840 3936 4920 5248 6560 7872 9840 10496 13120 15744 19680 26240 31488 39360 52480 78720 157440 308249 616498 924747 1232996 1541245 1849494 2465992 3082490 3698988 4623735 4931984 6164980 7397976 9247470 9863968 12329960 12638209 14795952 18494940 19727936 24659920 25276418 29591904 36989880 37914627 39455872 49319840 50552836 59183808 63191045 73979760 75829254 78911744 98639680 101105672 118367616 126382090 147959520 151658508 189573135 197279360 202211344 236735232 252764180 295919040 303317016 379146270 394558720 404422688 505528360 591838080 606634032 758292540 808845376 1011056720 1183676160 1213268064 1516585080 1617690752 2022113440 2426536128 3033170160 3235381504 4044226880 4853072256 6066340320 8088453760 9706144512 12132680640 16176907520 24265361280 48530722560