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5809744640 = 28572932213
BaseRepresentation
bin1010110100100100…
…11010101100000000
3112222220001121101102
411122102122230000
543344243312030
62400254553532
7263654005010
oct53222325400
915886047342
105809744640
1125114a4157
1211618088a8
1371784402b
143d1845c40
152400a5c45
hex15a49ab00

5809744640 has 144 divisors (see below), whose sum is σ = 15965667648. Its totient is φ = 1984217088.

The previous prime is 5809744637. The next prime is 5809744673. The reversal of 5809744640 is 464479085.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2624174 + ... + 2626386.

It is an arithmetic number, because the mean of its divisors is an integer number (110872692).

Almost surely, 25809744640 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 5809744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982833824).

5809744640 is an abundant number, since it is smaller than the sum of its proper divisors (10155923008).

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

5809744640 is a wasteful number, since it uses less digits than its factorization.

5809744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 5809744640 is about 76221.6809051073. The cubic root of 5809744640 is about 1797.7074352307.

The spelling of 5809744640 in words is "five billion, eight hundred nine million, seven hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 293 320 448 560 586 640 896 1120 1172 1280 1465 1792 2051 2213 2240 2344 2930 4102 4426 4480 4688 5860 8204 8852 8960 9376 10255 11065 11720 15491 16408 17704 18752 20510 22130 23440 30982 32816 35408 37504 41020 44260 46880 61964 65632 70816 75008 77455 82040 88520 93760 123928 131264 141632 154910 164080 177040 187520 247856 262528 283264 309820 328160 354080 375040 495712 525056 566528 619640 648409 656320 708160 991424 1239280 1296818 1312640 1416320 1982848 2478560 2593636 2625280 2832640 3242045 3965696 4538863 4957120 5187272 6484090 9077726 9914240 10374544 12968180 18155452 19828480 20749088 22694315 25936360 36310904 41498176 45388630 51872720 72621808 82996352 90777260 103745440 145243616 165992704 181554520 207490880 290487232 363109040 414981760 580974464 726218080 829963520 1161948928 1452436160 2904872320 5809744640