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5264670593169 = 3813221792
BaseRepresentation
bin100110010011100011011…
…0100100001000010010001
3200122022000221112100000000
41030213012310201002101
51142224021132440134
615110320053520213
71052234305453431
oct114470664410221
920568027470000
105264670593169
11174a809333579
127103b3643069
132c25c1676400
14142b507522c1
1591e2d482e99
hex4c9c6d21091

5264670593169 has 81 divisors (see below), whose sum is σ = 8554687249563. Its totient is φ = 3238310460528.

The previous prime is 5264670593141. The next prime is 5264670593179. The reversal of 5264670593169 is 9613950764625.

The square root of 5264670593169 is 2294487.

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

5264670593169 is a `hidden beast` number, since 5 + 2 + 6 + 467 + 0 + 5 + 9 + 3 + 169 = 666.

It can be written as a sum of positive squares in only one way, i.e., 778797425025 + 4485873168144 = 882495^2 + 2117988^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 5264670593169 - 237 = 5127231639697 is a prime.

It is a super-3 number, since 3×52646705931693 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5264670593179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2416093722 + ... + 2416095900.

Almost surely, 25264670593169 is an apocalyptic number.

5264670593169 is the 2294487-th square number.

5264670593169 is the 1147244-th centered octagonal number.

It is an amenable number.

5264670593169 is a deficient number, since it is larger than the sum of its proper divisors (3290016656394).

5264670593169 is an frugal number, since it uses more digits than its factorization.

5264670593169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 5264670593169 in words is "five trillion, two hundred sixty-four billion, six hundred seventy million, five hundred ninety-three thousand, one hundred sixty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 2179 2187 3159 4563 6537 6561 9477 13689 19611 28327 28431 41067 58833 84981 85293 123201 176499 254943 368251 369603 529497 764829 1104753 1108809 1588491 2294487 3314259 4748041 4765473 6883461 9942777 14244123 14296419 20650383 29828331 42732369 61724533 61951149 89484993 128197107 185173599 185853447 268454979 384591321 555520797 802418929 805364937 1153773963 1666562391 2407256787 2416094811 3461321889 4999687173 7221770361 10383965667 14999061519 21665311083 31151897001 44997184557 64995933249 134991553671 194987799747 404974661013 584963399241 1754890197723 5264670593169