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123118264481689 = 192232253912
BaseRepresentation
bin11011111111100110110100…
…011010110111011110011001
3121010220222202112112110100001
4123333212310122313132121
5112114132201201403224
61113503425550413001
734635000240020431
oct3377466432673631
9533828675473301
10123118264481689
1136258187682454
1211985189801161
13539100570ca09
142258d549bd2c1
15e378c67d2544
hex6ff9b46b7799

123118264481689 has 27 divisors (see below), whose sum is σ = 135839734023189. Its totient is φ = 111562728999480.

The previous prime is 123118264481683. The next prime is 123118264481789. The reversal of 123118264481689 is 986184462811321.

The square root of 123118264481689 is 11095867.

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

It is not a de Polignac number, because 123118264481689 - 25 = 123118264481657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123118264481689.

It is not an unprimeable number, because it can be changed into a prime (123118264481683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4848881184 + ... + 4848906574.

Almost surely, 2123118264481689 is an apocalyptic number.

123118264481689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

123118264481689 is the 11095867-th square number.

123118264481689 is the 5547934-th centered octagonal number.

It is an amenable number.

123118264481689 is a deficient number, since it is larger than the sum of its proper divisors (12721469541500).

123118264481689 is an frugal number, since it uses more digits than its factorization.

123118264481689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50866 (or 25433 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 64.

The spelling of 123118264481689 in words is "one hundred twenty-three trillion, one hundred eighteen billion, two hundred sixty-four million, four hundred eighty-one thousand, six hundred eighty-nine".

Divisors: 1 19 23 361 437 529 8303 10051 25391 190969 482429 583993 9166151 11095867 13431839 210821473 255204941 644702881 4848893879 12249354739 14828166263 232737740041 281735158997 341047824049 5352968020943 6479908656931 123118264481689