Search a number
-
+
12169681089049 = 112103230792
BaseRepresentation
bin1011000100010111100110…
…0001001011001000011001
31121002102001222222112100001
42301011321201023020121
53043342001324322144
641514401352413001
72364142020326101
oct261057141131031
947072058875301
1012169681089049
113972150791500
1214466956a7161
136a3799557363
1430103115c201
15161864773bd4
hexb117984b219

12169681089049 has 27 divisors (see below), whose sum is σ = 13512110777109. Its totient is φ = 10952377036920.

The previous prime is 12169681089017. The next prime is 12169681089061. The reversal of 12169681089049 is 94098018696121.

The square root of 12169681089049 is 3488507.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12169681089049 - 25 = 12169681089017 is a prime.

It is a super-2 number, since 2×121696810890492 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12169681089149) 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 26 ways as a sum of consecutive naturals, for example, 3952476892 + ... + 3952479970.

Almost surely, 212169681089049 is an apocalyptic number.

12169681089049 is the 3488507-th square number.

12169681089049 is the 1744254-th centered octagonal number.

It is an amenable number.

12169681089049 is a deficient number, since it is larger than the sum of its proper divisors (1342429688060).

12169681089049 is an frugal number, since it uses more digits than its factorization.

12169681089049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 64.

Multiplying 12169681089049 by its sum of digits (64), we get a square (778859589699136 = 279080562).

The spelling of 12169681089049 in words is "twelve trillion, one hundred sixty-nine billion, six hundred eighty-one million, eighty-nine thousand, forty-nine".

Divisors: 1 11 103 121 1133 3079 10609 12463 33869 116699 317137 372559 1283689 3488507 9480241 32665111 38373577 104282651 359316221 976464823 1147109161 3952478431 10741113053 100575876769 118152243583 1106334644459 12169681089049