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16661055756100 = 22527172269617051
BaseRepresentation
bin1111001001110011010001…
…0011110101011101000100
32011222210002121210122001211
43302130310103311131010
54140433320233143400
655233552223101204
73336502331152360
oct362346423653504
964883077718054
1016661055756100
115343a06692228
121a51035a41804
1393b191532242
14418583d582a0
151dd5d3ee2dba
hexf27344f5744

16661055756100 has 144 divisors (see below), whose sum is σ = 43769324833920. Its totient is φ = 5373962496000.

The previous prime is 16661055756089. The next prime is 16661055756101. The reversal of 16661055756100 is 165755016661.

It is not an unprimeable number, because it can be changed into a prime (16661055756101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26692575 + ... + 27309625.

It is an arithmetic number, because the mean of its divisors is an integer number (303953644680).

Almost surely, 216661055756100 is an apocalyptic number.

16661055756100 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 16661055756100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21884662416960).

16661055756100 is an abundant number, since it is smaller than the sum of its proper divisors (27108269077820).

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

16661055756100 is a wasteful number, since it uses less digits than its factorization.

16661055756100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619358 (or 619351 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 49.

The spelling of 16661055756100 in words is "sixteen trillion, six hundred sixty-one billion, fifty-five million, seven hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2269 2380 2975 4538 5950 9076 11345 11900 15883 22690 31766 38573 45380 56725 63532 77146 79415 113450 154292 158830 192865 226900 270011 317660 385730 397075 540022 617051 771460 794150 964325 1080044 1234102 1350055 1588300 1928650 2468204 2700110 3085255 3857300 4319357 5400220 6170510 6750275 8638714 10489867 12341020 13500550 15426275 17277428 20979734 21596785 27001100 30852550 41959468 43193570 52449335 61705100 73429069 86387140 104898670 107983925 146858138 209797340 215967850 262246675 293716276 367145345 431935700 524493350 734290690 1048986700 1400088719 1468581380 1835726725 2800177438 3671453450 5600354876 7000443595 7342906900 9800621033 14000887190 19601242066 23801508223 28001774380 35002217975 39202484132 47603016446 49003105165 70004435950 95206032892 98006210330 119007541115 140008871900 166610557561 196012420660 238015082230 245015525825 333221115122 476030164460 490031051650 595037705575 666442230244 833052787805 980062103300 1190075411150 1666105575610 2380150822300 3332211151220 4165263939025 8330527878050 16661055756100