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10090298369529 = 36712
BaseRepresentation
bin1001001011010101010010…
…1001100110010111111001
31022201121211020112201000000
42102311110221212113321
52310304412340311104
633243230304303213
72061000000000000
oct222652451462771
938647736481000
1010090298369529
1132402a94155a4
12116b698611b09
13582684a27401
1426c5318d7c37
151277125aa639
hex92d54a665f9

10090298369529 has 91 divisors (see below), whose sum is σ = 17649948062293. Its totient is φ = 5765884782588.

The previous prime is 10090298369477. The next prime is 10090298369561. The reversal of 10090298369529 is 92596389209001.

The square root of 10090298369529 is 3176523.

The cubic root of 10090298369529 is 21609.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

10090298369529 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 29 + 83 + 6 + 9 + 529 = 666.

It is not a de Polignac number, because 10090298369529 - 229 = 10089761498617 is a prime.

It is a super-2 number, since 2×100902983695292 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10090298364529) 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 90 ways as a sum of consecutive naturals, for example, 1441471195644 + ... + 1441471195650.

Almost surely, 210090298369529 is an apocalyptic number.

10090298369529 is the 3176523-rd square number.

10090298369529 is the 1588262-nd centered octagonal number.

It is an amenable number.

10090298369529 is a deficient number, since it is larger than the sum of its proper divisors (7559649692764).

10090298369529 is an frugal number, since it uses more digits than its factorization.

10090298369529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 10090298369529 in words is "ten trillion, ninety billion, two hundred ninety-eight million, three hundred sixty-nine thousand, five hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 729 1029 1323 1701 2401 3087 3969 5103 7203 9261 11907 16807 21609 27783 35721 50421 64827 83349 117649 151263 194481 250047 352947 453789 583443 823543 1058841 1361367 1750329 2470629 3176523 4084101 5764801 7411887 9529569 12252303 17294403 22235661 28588707 40353607 51883209 66706983 85766121 121060821 155649627 200120949 282475249 363182463 466948881 600362847 847425747 1089547389 1400846643 1977326743 2542277241 3268642167 4202539929 5931980229 7626831723 9805926501 13841287201 17795940687 22880495169 29417779503 41523861603 53387822061 68641485507 124571584809 160163466183 205924456521 373714754427 480490398549 1121144263281 1441471195647 3363432789843 10090298369529