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12616816611 = 371717921103
BaseRepresentation
bin10111100000000010…
…10101011111100011
31012120021202200200010
423300001111133203
5201314401112421
65443542100003
7624441112620
oct136001253743
935507680603
1012616816611
115394956073
12254141a603
131260b9a879
14879901347
154dc9b1076
hex2f00557e3

12616816611 has 48 divisors (see below), whose sum is σ = 20489462784. Its totient is φ = 6741489408.

The previous prime is 12616816603. The next prime is 12616816643. The reversal of 12616816611 is 11661861621.

12616816611 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12616816611 - 23 = 12616816603 is a prime.

It is a super-2 number, since 2×126168166112 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12616816611.

It is not an unprimeable number, because it can be changed into a prime (12616816691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11438086 + ... + 11439188.

It is an arithmetic number, because the mean of its divisors is an integer number (426863808).

Almost surely, 212616816611 is an apocalyptic number.

12616816611 is a deficient number, since it is larger than the sum of its proper divisors (7872646173).

12616816611 is a wasteful number, since it uses less digits than its factorization.

12616816611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1309 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The spelling of 12616816611 in words is "twelve billion, six hundred sixteen million, eight hundred sixteen thousand, six hundred eleven".

Divisors: 1 3 7 17 21 51 119 179 357 537 1103 1253 3043 3309 3759 7721 9129 18751 21301 23163 32041 56253 63903 96123 131257 197437 224287 393771 544697 592311 672861 1382059 1634091 3356429 3812879 4146177 10069287 11438637 23495003 35341223 70485009 106023669 247388561 600800791 742165683 1802402373 4205605537 12616816611