Search a number
-
+
1016646406111 = 72234322879173
BaseRepresentation
bin11101100101101001101…
…10010000111111011111
310121012010211120110202201
432302310312100333133
5113124042434443421
62055012500432331
7133310305604200
oct16626466207737
93535124513681
101016646406111
11362180435216
121450489a86a7
1374b3bc47c9b
14372c51a15a7
151b6a2d94b91
hexecb4d90fdf

1016646406111 has 48 divisors (see below), whose sum is σ = 1263436821504. Its totient is φ = 813694787136.

The previous prime is 1016646406109. The next prime is 1016646406117. The reversal of 1016646406111 is 1116046466101.

It is not a de Polignac number, because 1016646406111 - 21 = 1016646406109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016646406117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110825721 + ... + 110834893.

It is an arithmetic number, because the mean of its divisors is an integer number (26321600448).

Almost surely, 21016646406111 is an apocalyptic number.

1016646406111 is a deficient number, since it is larger than the sum of its proper divisors (246790415393).

1016646406111 is a wasteful number, since it uses less digits than its factorization.

1016646406111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540 (or 11533 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 1016646406111 in words is "one trillion, sixteen billion, six hundred forty-six million, four hundred six thousand, one hundred eleven".

Divisors: 1 7 23 43 49 161 301 989 1127 2107 2287 6923 9173 16009 48461 52601 64211 98341 112063 210979 368207 394439 449477 688387 1476853 2261843 2577449 2761073 4818709 9072097 10337971 15832901 19327511 20978651 63504679 110830307 146850557 444532753 482508973 902081993 1027953899 3377562811 6314573951 20747885839 23642939677 44202017657 145235200873 1016646406111