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4943625680 = 2457211232
BaseRepresentation
bin1001001101010100…
…11011110111010000
3110202112022012112102
410212222123313100
540111032010210
62134315015532
7233336060600
oct44652336720
913675265472
104943625680
112107603164
12b5b73a5a8
1360a280cc6
1434c7c8c00
151de01cea5
hex126a9bdd0

4943625680 has 90 divisors (see below), whose sum is σ = 13382406306. Its totient is φ = 1693448064.

The previous prime is 4943625667. The next prime is 4943625733. The reversal of 4943625680 is 865263494.

It can be written as a sum of positive squares in only one way, i.e., 3954900544 + 988725136 = 62888^2 + 31444^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4401599 + ... + 4402721.

Almost surely, 24943625680 is an apocalyptic number.

4943625680 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 4943625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691203153).

4943625680 is an abundant number, since it is smaller than the sum of its proper divisors (8438780626).

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

4943625680 is an equidigital number, since it uses as much as digits as its factorization.

4943625680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The square root of 4943625680 is about 70310.9214845034. The cubic root of 4943625680 is about 1703.5250592135.

The spelling of 4943625680 in words is "four billion, nine hundred forty-three million, six hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1123 1960 2246 3920 4492 5615 7861 8984 11230 15722 17968 22460 31444 39305 44920 55027 62888 78610 89840 110054 125776 157220 220108 275135 314440 440216 550270 628880 880432 1100540 1261129 2201080 2522258 4402160 5044516 6305645 8827903 10089032 12611290 17655806 20178064 25222580 35311612 44139515 50445160 61795321 70623224 88279030 100890320 123590642 141246448 176558060 247181284 308976605 353116120 494362568 617953210 706232240 988725136 1235906420 2471812840 4943625680