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16082661888 = 29333733119
BaseRepresentation
bin11101111101001100…
…11111001000000000
31112111211100212121000
432332212133020000
5230414130140023
611215511132000
71106354241036
oct167646371000
945454325530
1016082661888
116903274a07
12314a074000
131693c390a7
14ac7d2c556
15641dc3243
hex3be99f200

16082661888 has 160 divisors (see below), whose sum is σ = 47748729600. Its totient is φ = 5344800768.

The previous prime is 16082661871. The next prime is 16082661893. The reversal of 16082661888 is 88816628061.

16082661888 is a `hidden beast` number, since 1 + 608 + 26 + 6 + 1 + 8 + 8 + 8 = 666.

16082661888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 5154793 + ... + 5157911.

It is an arithmetic number, because the mean of its divisors is an integer number (298429560).

Almost surely, 216082661888 is an apocalyptic number.

16082661888 is a gapful number since it is divisible by the number (18) 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 16082661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23874364800).

16082661888 is an abundant number, since it is smaller than the sum of its proper divisors (31666067712).

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

16082661888 is an equidigital number, since it uses as much as digits as its factorization.

16082661888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 16082661888 in words is "sixteen billion, eighty-two million, six hundred sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 373 384 432 512 576 746 768 864 1119 1152 1492 1536 1728 2238 2304 2984 3119 3357 3456 4476 4608 5968 6238 6714 6912 8952 9357 10071 11936 12476 13428 13824 17904 18714 20142 23872 24952 26856 28071 35808 37428 40284 47744 49904 53712 56142 71616 74856 80568 84213 95488 99808 107424 112284 143232 149712 161136 168426 190976 199616 214848 224568 286464 299424 322272 336852 399232 429696 449136 572928 598848 644544 673704 798464 859392 898272 1163387 1197696 1289088 1347408 1596928 1718784 1796544 2326774 2395392 2578176 2694816 3490161 3593088 4653548 4790784 5156352 5389632 6980322 7186176 9307096 10470483 10779264 13960644 14372352 18614192 20940966 21558528 27921288 31411449 37228384 41881932 43117056 55842576 62822898 74456768 83763864 111685152 125645796 148913536 167527728 223370304 251291592 297827072 335055456 446740608 502583184 595654144 670110912 893481216 1005166368 1340221824 1786962432 2010332736 2680443648 4020665472 5360887296 8041330944 16082661888