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4613834368 = 271113443569
BaseRepresentation
bin1000100110000000…
…11000011010000000
3102220112202001220101
410103000120122000
533422120144433
62041454252144
7222222642103
oct42300303200
912815661811
104613834368
111a58431060
12a891b7054
13586b52210
1431aa9c73a
151c00c707d
hex113018680

4613834368 has 128 divisors (see below), whose sum is σ = 10841947200. Its totient is φ = 1928110080.

The previous prime is 4613834359. The next prime is 4613834371. The reversal of 4613834368 is 8634383164.

It is a tau number, because it is divible by the number of its divisors (128).

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, 8108388 + ... + 8108956.

Almost surely, 24613834368 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 4613834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420973600).

4613834368 is an abundant number, since it is smaller than the sum of its proper divisors (6228112832).

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

4613834368 is a wasteful number, since it uses less digits than its factorization.

4613834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The square root of 4613834368 is about 67925.2115786178. The cubic root of 4613834368 is about 1664.7690755799.

The spelling of 4613834368 in words is "four billion, six hundred thirteen million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 443 569 572 704 832 886 1138 1144 1408 1664 1772 2276 2288 3544 4552 4576 4873 5759 6259 7088 7397 9104 9152 9746 11518 12518 14176 14794 18208 18304 19492 23036 25036 28352 29588 36416 38984 46072 50072 56704 59176 63349 72832 77968 81367 92144 100144 118352 126698 155936 162734 184288 200288 236704 252067 253396 311872 325468 368576 400576 473408 504134 506792 623744 650936 737152 801152 946816 1008268 1013584 1301872 2016536 2027168 2603744 2772737 3276871 4033072 4054336 5207488 5545474 6553742 8066144 8108672 10414976 11090948 13107484 16132288 22181896 26214968 32264576 36045581 44363792 52429936 72091162 88727584 104859872 144182324 177455168 209719744 288364648 354910336 419439488 576729296 1153458592 2306917184 4613834368