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4848110080 = 295111071609
BaseRepresentation
bin1001000001111100…
…00100101000000000
3110111212120111202121
410200332010220000
534412104010310
62121023454024
7231066153502
oct44076045000
913455514677
104848110080
1120686a4950
12b33757314
135c354a6b8
1433dc43d72
151d59520da
hex120f84a00

4848110080 has 160 divisors (see below), whose sum is σ = 12807305280. Its totient is φ = 1745387520.

The previous prime is 4848110041. The next prime is 4848110101. The reversal of 4848110080 is 800118484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3012316 + ... + 3013924.

It is an arithmetic number, because the mean of its divisors is an integer number (80045658).

Almost surely, 24848110080 is an apocalyptic number.

4848110080 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 4848110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403652640).

4848110080 is an abundant number, since it is smaller than the sum of its proper divisors (7959195200).

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

4848110080 is a wasteful number, since it uses less digits than its factorization.

4848110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 4848110080 is about 69628.3712289753. The cubic root of 4848110080 is about 1692.4823853229.

The spelling of 4848110080 in words is "four billion, eight hundred forty-eight million, one hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 128 160 176 214 220 256 320 352 428 440 512 535 640 704 856 880 1070 1177 1280 1408 1609 1712 1760 2140 2354 2560 2816 3218 3424 3520 4280 4708 5632 5885 6436 6848 7040 8045 8560 9416 11770 12872 13696 14080 16090 17120 17699 18832 23540 25744 27392 28160 32180 34240 35398 37664 47080 51488 54784 64360 68480 70796 75328 88495 94160 102976 128720 136960 141592 150656 172163 176990 188320 205952 257440 273920 283184 301312 344326 353980 376640 411904 514880 566368 602624 688652 707960 753280 823808 860815 1029760 1132736 1377304 1415920 1506560 1721630 1893793 2059520 2265472 2754608 2831840 3013120 3443260 3787586 4119040 4530944 5509216 5663680 6886520 7575172 9061888 9468965 11018432 11327360 13773040 15150344 18937930 22036864 22654720 27546080 30300688 37875860 44073728 45309440 55092160 60601376 75751720 88147456 110184320 121202752 151503440 220368640 242405504 303006880 440737280 484811008 606013760 969622016 1212027520 2424055040 4848110080