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16307090820 = 223251371993323
BaseRepresentation
bin11110010111111101…
…00111010110000100
31120002110200001012200
433023332213112010
5231344103401240
611254045314500
71115050661556
oct171376472604
946073601180
1016307090820
116a08a22769
1231b1265a30
1316cb597687
14b09a6d4d6
15656955930
hex3cbfa7584

16307090820 has 144 divisors (see below), whose sum is σ = 50091350400. Its totient is φ = 4293831168.

The previous prime is 16307090801. The next prime is 16307090881. The reversal of 16307090820 is 2809070361.

It is a super-2 number, since 2×163070908202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905679 + ... + 4909001.

It is an arithmetic number, because the mean of its divisors is an integer number (347856600).

Almost surely, 216307090820 is an apocalyptic number.

16307090820 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 16307090820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045675200).

16307090820 is an abundant number, since it is smaller than the sum of its proper divisors (33784259580).

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

16307090820 is a wasteful number, since it uses less digits than its factorization.

16307090820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16307090820 in words is "sixteen billion, three hundred seven million, ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 199 274 398 411 548 597 685 796 822 995 1194 1233 1370 1644 1791 1990 2055 2388 2466 2740 2985 3323 3582 3980 4110 4932 5970 6165 6646 7164 8220 8955 9969 11940 12330 13292 16615 17910 19938 24660 27263 29907 33230 35820 39876 49845 54526 59814 66460 81789 99690 109052 119628 136315 149535 163578 199380 245367 272630 299070 327156 408945 455251 490734 545260 598140 661277 817890 910502 981468 1226835 1322554 1365753 1635780 1821004 1983831 2276255 2453670 2645108 2731506 3306385 3967662 4097259 4552510 4907340 5463012 5951493 6612770 6828765 7935324 8194518 9105020 9919155 11902986 13225540 13657530 16389036 19838310 20486295 23805972 27315060 29757465 39676620 40972590 59514930 81945180 90594949 119029860 181189898 271784847 362379796 452974745 543569694 815354541 905949490 1087139388 1358924235 1630709082 1811898980 2717848470 3261418164 4076772705 5435696940 8153545410 16307090820