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4813320008 = 2371929473319
BaseRepresentation
bin1000111101110010…
…10110111101001000
3110102110002222202102
410132321112331020
534324202220013
62113342052532
7230164354640
oct43671267510
913373088672
104813320008
11204aaa2622
12b23b7a148
135b9289363
14339389520
151d287dd58
hex11ee56f48

4813320008 has 128 divisors (see below), whose sum is σ = 11473920000. Its totient is φ = 1846188288.

The previous prime is 4813319971. The next prime is 4813320013. The reversal of 4813320008 is 8000233184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 1448573 + ... + 1451891.

It is an arithmetic number, because the mean of its divisors is an integer number (89640000).

Almost surely, 24813320008 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 4813320008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736960000).

4813320008 is an abundant number, since it is smaller than the sum of its proper divisors (6660599992).

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

4813320008 is a wasteful number, since it uses less digits than its factorization.

4813320008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4813320008 is about 69378.0945832328. The cubic root of 4813320008 is about 1688.4242408666.

The spelling of 4813320008 in words is "four billion, eight hundred thirteen million, three hundred twenty thousand, eight".

Divisors: 1 2 4 7 8 14 19 28 29 38 47 56 58 76 94 116 133 152 188 203 232 266 329 376 406 532 551 658 812 893 1064 1102 1316 1363 1624 1786 2204 2632 2726 3319 3572 3857 4408 5452 6251 6638 7144 7714 9541 10904 12502 13276 15428 19082 23233 25004 25897 26552 30856 38164 46466 50008 51794 63061 76328 92932 96251 103588 126122 155993 181279 185864 192502 207176 252244 311986 362558 385004 441427 504488 623972 673757 725116 770008 882854 1091951 1247944 1347514 1450232 1765708 1828769 2183902 2695028 2963867 3531416 3657538 4367804 4523797 5390056 5927734 7315076 8735608 9047594 11855468 12801383 14630152 18095188 20747069 23710936 25602766 31666579 36190376 41494138 51205532 63333158 82988276 85952143 102411064 126666316 165976552 171904286 253332632 343808572 601665001 687617144 1203330002 2406660004 4813320008