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5126316354769 = 612371172
BaseRepresentation
bin100101010011001000001…
…0000111110110011010001
3200011001220210121210202011
41022212100100332303101
51132442143441323034
614522555222222521
71036235620030051
oct112462020766321
920131823553664
105126316354769
1116a7070a37495
126a9620b84a41
132b2542a5035c
1413a18792b561
158d531e9e864
hex4a99043ecd1

5126316354769 has 9 divisors (see below), whose sum is σ = 5211872416881. Its totient is φ = 5042142533520.

The previous prime is 5126316354763. The next prime is 5126316354787. The reversal of 5126316354769 is 9674536136215.

The square root of 5126316354769 is 2264137.

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 1256786734225 + 3869529620544 = 1121065^2 + 1967112^2 .

It is not a de Polignac number, because 5126316354769 - 225 = 5126282800337 is a prime.

It is a super-3 number, since 3×51263163547693 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5126316354763) 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, 138093799 + ... + 138130915.

It is an arithmetic number, because the mean of its divisors is an integer number (579096935209).

Almost surely, 25126316354769 is an apocalyptic number.

5126316354769 is the 2264137-th square number.

5126316354769 is the 1132069-th centered octagonal number.

It is an amenable number.

5126316354769 is a deficient number, since it is larger than the sum of its proper divisors (85556062112).

5126316354769 is an frugal number, since it uses more digits than its factorization.

5126316354769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74356 (or 37178 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 58.

The spelling of 5126316354769 in words is "five trillion, one hundred twenty-six billion, three hundred sixteen million, three hundred fifty-four thousand, seven hundred sixty-nine".

Divisors: 1 61 3721 37117 2264137 138112357 1377671689 84037973029 5126316354769