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4688381670 = 2357194492617
BaseRepresentation
bin1000101110111001…
…10000011011100110
3110002202000110120120
410113130300123212
534100211203140
62053120142410
7224116405140
oct42734603346
913082013516
104688381670
111a965185a5
12aaa167a06
1359942374b
14326945c90
151c69001d0
hex1177306e6

4688381670 has 128 divisors (see below), whose sum is σ = 13571712000. Its totient is φ = 1012580352.

The previous prime is 4688381653. The next prime is 4688381717. The reversal of 4688381670 is 761838864.

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 63 ways as a sum of consecutive naturals, for example, 1790202 + ... + 1792818.

It is an arithmetic number, because the mean of its divisors is an integer number (106029000).

Almost surely, 24688381670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688381670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785856000).

4688381670 is an abundant number, since it is smaller than the sum of its proper divisors (8883330330).

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

4688381670 is a wasteful number, since it uses less digits than its factorization.

4688381670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102.

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 4688381670 is about 68471.7581927031. The cubic root of 4688381670 is about 1673.6872964407.

The spelling of 4688381670 in words is "four billion, six hundred eighty-eight million, three hundred eighty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 449 570 665 798 898 1330 1347 1995 2245 2617 2694 3143 3990 4490 5234 6286 6735 7851 8531 9429 13085 13470 15702 15715 17062 18319 18858 25593 26170 31430 36638 39255 42655 47145 49723 51186 54957 59717 78510 85310 91595 94290 99446 109914 119434 127965 149169 179151 183190 248615 255930 274785 298338 298585 348061 358302 497230 549570 597170 696122 745845 895755 1044183 1175033 1491690 1740305 1791510 2088366 2350066 3480610 3525099 5220915 5875165 7050198 8225231 10441830 11750330 16450462 17625495 22325627 24675693 35250990 41126155 44651254 49351386 66976881 82252310 111628135 123378465 133953762 156279389 223256270 246756930 312558778 334884405 468838167 669768810 781396945 937676334 1562793890 2344190835 4688381670