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5265083608929 = 34193213212
BaseRepresentation
bin100110010011101111101…
…1100000010111101100001
3200122100002201200201010000
41030213133130002331201
51142230342400441204
615110425050130213
71052250452155134
oct114473734027541
920570081621100
105265083608929
11174aa00489411
127104a9a20969
132c26590c4131
14142b8d54421b
1591e54868039
hex4c9df702f61

5265083608929 has 45 divisors (see below), whose sum is σ = 7912077446889. Its totient is φ = 3489225569280.

The previous prime is 5265083608903. The next prime is 5265083608997. The reversal of 5265083608929 is 9298063805625.

The square root of 5265083608929 is 2294577.

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

5265083608929 is a `hidden beast` number, since 5 + 2 + 6 + 508 + 36 + 0 + 8 + 92 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 294181488225 + 4970902120704 = 542385^2 + 2229552^2 .

It is a de Polignac number, because none of the positive numbers 2k-5265083608929 is a prime.

It is a super-2 number, since 2×52650836089292 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5265083678929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3985679589 + ... + 3985680909.

Almost surely, 25265083608929 is an apocalyptic number.

5265083608929 is the 2294577-th square number.

5265083608929 is the 1147289-th centered octagonal number.

It is an amenable number.

5265083608929 is a deficient number, since it is larger than the sum of its proper divisors (2646993837960).

5265083608929 is an frugal number, since it uses more digits than its factorization.

5265083608929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5265083608929 in words is "five trillion, two hundred sixty-five billion, eighty-three million, six hundred eight thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 81 193 579 1321 1737 3963 5211 11889 15633 35667 37249 107001 111747 254953 335241 764859 1005723 1745041 2294577 3017169 5235123 6883731 15705369 20651193 47116107 49205929 141348321 147617787 336792913 442853361 1010378739 1328560083 3031136217 3985680249 9093408651 27280225953 65001032209 195003096627 585009289881 1755027869643 5265083608929