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16581442220 = 2257241563733
BaseRepresentation
bin11110111000101010…
…01011101010101100
31120210120220112120122
433130111023222230
5232424322122340
611341205504112
71124621635100
oct173425135254
946716815518
1016581442220
117039878a62
123269112038
131743384c95
14b34287900
15670a99db5
hex3dc54baac

16581442220 has 144 divisors (see below), whose sum is σ = 41624458848. Its totient is φ = 5529000960.

The previous prime is 16581442217. The next prime is 16581442237. The reversal of 16581442220 is 2224418561.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 22620974 + ... + 22621706.

It is an arithmetic number, because the mean of its divisors is an integer number (289058742).

Almost surely, 216581442220 is an apocalyptic number.

16581442220 is a gapful number since it is divisible by the number (10) 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 16581442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812229424).

16581442220 is an abundant number, since it is smaller than the sum of its proper divisors (25043016628).

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

16581442220 is a wasteful number, since it uses less digits than its factorization.

16581442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 16581442220 in words is "sixteen billion, five hundred eighty-one million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 563 574 733 820 980 1126 1148 1435 1466 2009 2252 2815 2870 2932 3665 3941 4018 5131 5630 5740 7330 7882 8036 10045 10262 11260 14660 15764 19705 20090 20524 23083 25655 27587 30053 35917 39410 40180 46166 51310 55174 60106 71834 78820 92332 102620 110348 115415 120212 137935 143668 150265 161581 179585 210371 230830 275870 300530 323162 359170 412679 420742 461660 551740 601060 646324 718340 807905 825358 841484 1051855 1131067 1472597 1615810 1650716 2063395 2103710 2262134 2888753 2945194 3231620 4126790 4207420 4524268 5655335 5777506 5890388 7362985 8253580 11310670 11555012 14443765 14725970 16919839 20221271 22621340 28887530 29451940 33839678 40442542 57775060 67679356 80885084 84599195 101106355 118438873 169198390 202212710 236877746 338396780 404425420 473755492 592194365 829072111 1184388730 1658144222 2368777460 3316288444 4145360555 8290721110 16581442220