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5971728090 = 2353167239401
BaseRepresentation
bin1011000111111000…
…10101011011011010
3120102011212012220110
411203330111123122
544212230244330
62424322505150
7300661564656
oct54374253332
916364765813
105971728090
112594980779
1211a7b051b6
1374227a523
1440916da66
1524e400db0
hex163f156da

5971728090 has 128 divisors (see below), whose sum is σ = 15115714560. Its totient is φ = 1507968000.

The previous prime is 5971728067. The next prime is 5971728127. The reversal of 5971728090 is 908271795.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14891890 + ... + 14892290.

It is an arithmetic number, because the mean of its divisors is an integer number (118091520).

Almost surely, 25971728090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5971728090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557857280).

5971728090 is an abundant number, since it is smaller than the sum of its proper divisors (9143986470).

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

5971728090 is a wasteful number, since it uses less digits than its factorization.

5971728090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 5971728090 is about 77276.9570441280. The cubic root of 5971728090 is about 1814.2620166047.

The spelling of 5971728090 in words is "five billion, nine hundred seventy-one million, seven hundred twenty-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 93 134 155 186 201 239 310 335 401 402 465 478 670 717 802 930 1005 1195 1203 1434 2005 2010 2077 2390 2406 3585 4010 4154 6015 6231 7170 7409 10385 12030 12431 12462 14818 16013 20770 22227 24862 26867 31155 32026 37045 37293 44454 48039 53734 62155 62310 74090 74586 80065 80601 95839 96078 111135 124310 134335 160130 161202 186465 191678 222270 240195 268670 287517 372930 403005 479195 480390 496403 575034 806010 832877 958390 992806 1437585 1489209 1665754 2482015 2498631 2875170 2971009 2978418 4164385 4964030 4997262 5942018 6421213 7446045 8328770 8913027 12493155 12842426 14855045 14892090 17826054 19263639 24986310 29710090 32106065 38527278 44565135 64212130 89130270 96318195 192636390 199057603 398115206 597172809 995288015 1194345618 1990576030 2985864045 5971728090