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4813648080 = 2435831671447
BaseRepresentation
bin1000111101110101…
…00111000011010000
3110102110201122210020
410132322213003100
534324243214310
62113353103440
7230200222263
oct43672470320
913373648706
104813648080
1120501a705a
12b240b7b80
135b9372797
14339432cda
151d28e6170
hex11eea70d0

4813648080 has 160 divisors (see below), whose sum is σ = 15203026944. Its totient is φ = 1259708928.

The previous prime is 4813648057. The next prime is 4813648109. The reversal of 4813648080 is 808463184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3325917 + ... + 3327363.

Almost surely, 24813648080 is an apocalyptic number.

4813648080 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 4813648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601513472).

4813648080 is an abundant number, since it is smaller than the sum of its proper divisors (10389378864).

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

4813648080 is a wasteful number, since it uses less digits than its factorization.

4813648080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4813648080 is about 69380.4589203617. The cubic root of 4813648080 is about 1688.4626005388.

The spelling of 4813648080 in words is "four billion, eight hundred thirteen million, six hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 167 240 249 332 334 415 498 501 664 668 830 835 996 1002 1245 1328 1336 1447 1660 1670 1992 2004 2490 2505 2672 2894 3320 3340 3984 4008 4341 4980 5010 5788 6640 6680 7235 8016 8682 9960 10020 11576 13360 13861 14470 17364 19920 20040 21705 23152 27722 28940 34728 40080 41583 43410 55444 57880 69305 69456 83166 86820 110888 115760 120101 138610 166332 173640 207915 221776 240202 241649 277220 332664 347280 360303 415830 480404 483298 554440 600505 665328 720606 724947 831660 960808 966596 1108880 1201010 1208245 1441212 1449894 1663320 1801515 1921616 1933192 2402020 2416490 2882424 2899788 3326640 3603030 3624735 3866384 4804040 4832980 5764848 5799576 7206060 7249470 9608080 9665960 11599152 14412120 14498940 19331920 20056867 28824240 28997880 40113734 57995760 60170601 80227468 100284335 120341202 160454936 200568670 240682404 300853005 320909872 401137340 481364808 601706010 802274680 962729616 1203412020 1604549360 2406824040 4813648080