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123297192769 = 3124722412
BaseRepresentation
bin111001011010100010…
…1011101101101000001
3102210020210102100200011
41302311011131231001
54010003040132034
6132350354424521
711623263563212
oct1626505355501
9383223370604
10123297192769
1148321061923
121ba8bb92141
13b81c3259ca
145d791d1409
1533196a1864
hex1cb515db41

123297192769 has 27 divisors (see below), whose sum is σ = 130713565923. Its totient is φ = 116296574400.

The previous prime is 123297192749. The next prime is 123297192787. The reversal of 123297192769 is 967291792321.

The square root of 123297192769 is 351137.

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

It can be written as a sum of positive squares in only one way, i.e., 92728167169 + 30569025600 = 304513^2 + 174840^2 .

It is not a de Polignac number, because 123297192769 - 217 = 123297061697 is a prime.

It is a super-2 number, since 2×1232971927692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123297192719) 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, 511606489 + ... + 511606729.

Almost surely, 2123297192769 is an apocalyptic number.

123297192769 is the 351137-th square number.

123297192769 is the 175569-th centered octagonal number.

It is an amenable number.

123297192769 is a deficient number, since it is larger than the sum of its proper divisors (7416373154).

123297192769 is an frugal number, since it uses more digits than its factorization.

123297192769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 58.

The spelling of 123297192769 in words is "one hundred twenty-three billion, two hundred ninety-seven million, one hundred ninety-two thousand, seven hundred sixty-nine".

Divisors: 1 31 47 241 961 1457 2209 7471 11327 45167 58081 68479 231601 351137 532369 1800511 2122849 2729807 10885247 16503439 55815841 84624017 128300929 511606609 2623344527 3977328799 123297192769