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528130635474649 = 17213518292
BaseRepresentation
bin111100000010101001111111…
…0111011000010011011011001
32120020221210111001010020220111
41320011103332323002123121
51023210343020140142044
65111123510423324321
7216146115324302134
oct17005237673023331
92506853431106814
10528130635474649
11143307a4342a729
124b2973092b06a1
131988c674cacaac
14945b9329a121b
15410cd53236b34
hex1e054feec26d9

528130635474649 has 9 divisors (see below), whose sum is σ = 561025000100797. Its totient is φ = 497063759808064.

The previous prime is 528130635474623. The next prime is 528130635474653. The reversal of 528130635474649 is 946474536031825.

The square root of 528130635474649 is 22981093.

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 235704629655625 + 292426005819024 = 15352675^2 + 17100468^2 .

It is not a de Polignac number, because 528130635474649 - 219 = 528130634950361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (528130635474619) 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, 390002667 + ... + 391354495.

It is a 1-persistent number, because it is pandigital, but 2⋅528130635474649 = 1056261270949298 is not.

Almost surely, 2528130635474649 is an apocalyptic number.

528130635474649 is the 22981093-rd square number.

528130635474649 is the 11490547-th centered octagonal number.

It is an amenable number.

528130635474649 is a deficient number, since it is larger than the sum of its proper divisors (32894364626148).

528130635474649 is an frugal number, since it uses more digits than its factorization.

528130635474649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703692 (or 1351846 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 67.

The spelling of 528130635474649 in words is "five hundred twenty-eight trillion, one hundred thirty billion, six hundred thirty-five million, four hundred seventy-four thousand, six hundred forty-nine".

Divisors: 1 17 289 1351829 22981093 390678581 1827441645241 31066507969097 528130635474649