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16003088030061 = 32113126958733023
BaseRepresentation
bin1110100011100000001001…
…1000001001100101101101
32002122212202201102222121100
43220320002120021211231
54044143311013430221
654011414523153313
73241120303600536
oct350700230114555
962585681388540
1016003088030061
11510a964aa2130
121965609975839
138c11141b1c32
143d47a70bb68d
151cb42505c926
hexe8e0260996d

16003088030061 has 96 divisors (see below), whose sum is σ = 26172508078080. Its totient is φ = 9334870300800.

The previous prime is 16003088030057. The next prime is 16003088030119.

16003088030061 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16003088030061 - 22 = 16003088030057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16003088029998 and 16003088030025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16003088030261) 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 95 ways as a sum of consecutive naturals, for example, 484587796 + ... + 484620818.

It is an arithmetic number, because the mean of its divisors is an integer number (272630292480).

Almost surely, 216003088030061 is an apocalyptic number.

16003088030061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16003088030061 is a deficient number, since it is larger than the sum of its proper divisors (10169420048019).

16003088030061 is a wasteful number, since it uses less digits than its factorization.

16003088030061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33927 (or 33924 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 1600308 and 8030061, that added together give a palindrome (9630369).

The spelling of 16003088030061 in words is "sixteen trillion, three billion, eighty-eight million, thirty thousand, sixty-one".

Divisors: 1 3 9 11 31 33 93 99 269 279 341 587 807 1023 1761 2421 2959 3069 5283 6457 8339 8877 18197 19371 25017 26631 33023 54591 58113 75051 91729 99069 157903 163773 200167 275187 297207 363253 473709 600501 825561 1023713 1089759 1421127 1736933 1801503 3071139 3269277 4894993 5210799 8883187 9213417 11260843 14684979 15632397 19384501 26649561 33782529 44054937 53844923 58153503 79948683 97715057 101347587 161534769 174460509 213229511 275378797 293145171 484604307 600919531 639688533 826136391 879435513 1802758593 1919065599 2478409173 3029166767 5214430769 5408275779 6610114841 9087500301 15643292307 19830344523 27262500903 46929876921 57358738459 59491033569 161647353839 172076215377 484942061517 516228646131 1454826184551 1778120892229 5334362676687 16003088030061