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20127351612816 = 2432719967610727
BaseRepresentation
bin1001001001110010000111…
…01001001010010110010000
32122021011012201222202001100
410210321003221022112100
510114231304003102231
6110450213325104400
74145103351615540
oct444710351122620
978234181882040
1020127351612816
11645aa642a2728
1223109953b8100
13b300025a3356
144d8251acb320
1524d85a45c1e6
hex124e43a4a590

20127351612816 has 60 divisors (see below), whose sum is σ = 64375576987072. Its totient is φ = 5750671889088.

The previous prime is 20127351612803. The next prime is 20127351612817. The reversal of 20127351612816 is 61821615372102.

20127351612816 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 7 + 3 + 516 + 128 + 1 + 6 = 666.

It is a super-2 number, since 2×201273516128162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20127351612817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9983804356 + ... + 9983806371.

Almost surely, 220127351612816 is an apocalyptic number.

It is an amenable number.

20127351612816 is an abundant number, since it is smaller than the sum of its proper divisors (44248225374256).

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

20127351612816 is a wasteful number, since it uses less digits than its factorization.

20127351612816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19967610748 (or 19967610739 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 20127351612816 its reverse (61821615372102), we get a palindrome (81948966984918).

The spelling of 20127351612816 in words is "twenty trillion, one hundred twenty-seven billion, three hundred fifty-one million, six hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 19967610727 39935221454 59902832181 79870442908 119805664362 139773275089 159740885816 179708496543 239611328724 279546550178 319481771632 359416993086 419319825267 479222657448 559093100356 718833986172 838639650534 958445314896 1118186200712 1257959475801 1437667972344 1677279301068 2236372401424 2515918951602 2875335944688 3354558602136 5031837903204 6709117204272 10063675806408 20127351612816