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13128034767169 = 725176092
BaseRepresentation
bin1011111100001001101111…
…0110010101000101000001
31201111000202022111121021011
42333002123312111011001
53210042203400022134
643530534054000521
72523316640226100
oct277023366250501
951430668447234
1013128034767169
114201628419363
121580374346141
13742c7866968a
143355864c6037
1517b754c04264
hexbf09bd95141

13128034767169 has 9 divisors (see below), whose sum is σ = 15271416885987. Its totient is φ = 11252579489424.

The previous prime is 13128034767167. The next prime is 13128034767299. The reversal of 13128034767169 is 96176743082131.

It is a happy number.

The square root of 13128034767169 is 3623263.

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

13128034767169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2007143727169 + 11120891040000 = 1416737^2 + 3334800^2 .

It is not a de Polignac number, because 13128034767169 - 21 = 13128034767167 is a prime.

It is a super-2 number, since 2×131280347671692 (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 (13128034767167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25104037 + ... + 25621645.

It is an arithmetic number, because the mean of its divisors is an integer number (1696824098443).

Almost surely, 213128034767169 is an apocalyptic number.

13128034767169 is the 3623263-rd square number.

13128034767169 is the 1811632-nd centered octagonal number.

It is an amenable number.

13128034767169 is a deficient number, since it is larger than the sum of its proper divisors (2143382118818).

13128034767169 is an frugal number, since it uses more digits than its factorization.

13128034767169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035232 (or 517616 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 13128034767169 in words is "thirteen trillion, one hundred twenty-eight billion, thirty-four million, seven hundred sixty-seven thousand, one hundred sixty-nine".

Divisors: 1 7 49 517609 3623263 25362841 267919076881 1875433538167 13128034767169