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20196030587616 = 25321311294777891
BaseRepresentation
bin1001001011110010000010…
…01110101010001011100000
32122111201111002121011000200
410211321001032222023200
510121342432312300431
6110541532305545200
74153054315356012
oct445710116521340
978451432534020
1020196030587616
1164870a7836a34
122322161945200
13b36629130a90
144db6c90ac1b2
15250529ac7ee6
hex125e413aa2e0

20196030587616 has 144 divisors (see below), whose sum is σ = 61905139929360. Its totient is φ = 6208657827840.

The previous prime is 20196030587611. The next prime is 20196030587653. The reversal of 20196030587616 is 61678503069102.

20196030587616 is a `hidden beast` number, since 2 + 0 + 19 + 6 + 0 + 3 + 0 + 5 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×201960305876163 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20196030587611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1838031 + ... + 6615921.

It is an arithmetic number, because the mean of its divisors is an integer number (429896805065).

Almost surely, 220196030587616 is an apocalyptic number.

20196030587616 is a gapful number since it is divisible by the number (26) 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 20196030587616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30952569964680).

20196030587616 is an abundant number, since it is smaller than the sum of its proper divisors (41709109341744).

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

20196030587616 is a wasteful number, since it uses less digits than its factorization.

20196030587616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779049 (or 4779038 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20196030587616 in words is "twenty trillion, one hundred ninety-six billion, thirty million, five hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1129 1248 1872 2258 3387 3744 4516 6774 9032 10161 13548 14677 18064 20322 27096 29354 36128 40644 44031 54192 58708 81288 88062 108384 117416 132093 162576 176124 234832 264186 325152 352248 469664 528372 704496 1056744 1408992 2113488 4226976 4777891 9555782 14333673 19111564 28667346 38223128 43001019 57334692 62112583 76446256 86002038 114669384 124225166 152892512 172004076 186337749 229338768 248450332 344008152 372675498 458677536 496900664 559013247 688016304 745350996 993801328 1118026494 1376032608 1490701992 1987602656 2236052988 2981403984 4472105976 5394238939 5962807968 8944211952 10788477878 16182716817 17888423904 21576955756 32365433634 43153911512 48548150451 64730867268 70125106207 86307823024 97096300902 129461734536 140250212414 172615646048 194192601804 210375318621 258923469072 280500424828 388385203608 420750637242 517846938144 561000849656 631125955863 776770407216 841501274484 1122001699312 1262251911726 1553540814432 1683002548968 2244003398624 2524503823452 3366005097936 5049007646904 6732010195872 10098015293808 20196030587616