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126264383569 = 292122532
BaseRepresentation
bin111010110010111110…
…0011001100001010001
3110001220120201021020201
41311211330121201101
54032042140233234
6134001031535201
712056643360232
oct1654574314121
9401816637221
10126264383569
1149603a53225
122057982a501
13bba2c906cc
14617b2d7089
15343ee14314
hex1d65f19851

126264383569 has 9 divisors (see below), whose sum is σ = 130779137073. Its totient is φ = 121900489872.

The previous prime is 126264383491. The next prime is 126264383591. The reversal of 126264383569 is 965383462621.

The square root of 126264383569 is 355337.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17766225 + 126246617344 = 4215^2 + 355312^2 .

It is not a de Polignac number, because 126264383569 - 211 = 126264381521 is a prime.

It is a super-2 number, since 2×1262643835692 (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 (126264383599) 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 8 ways as a sum of consecutive naturals, for example, 10298647 + ... + 10310899.

Almost surely, 2126264383569 is an apocalyptic number.

126264383569 is the 355337-th square number.

126264383569 is the 177669-th centered octagonal number.

It is an amenable number.

126264383569 is a deficient number, since it is larger than the sum of its proper divisors (4514753504).

126264383569 is an frugal number, since it uses more digits than its factorization.

126264383569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24564 (or 12282 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 55.

The spelling of 126264383569 in words is "one hundred twenty-six billion, two hundred sixty-four million, three hundred eighty-three thousand, five hundred sixty-nine".

Divisors: 1 29 841 12253 355337 10304773 150136009 4353944261 126264383569