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13148062225 = 52172192712
BaseRepresentation
bin11000011111010111…
…11000001000010001
31020221022101202122121
430033223320020101
5203411400442400
610012400334241
7643551453634
oct141753701021
936838352577
1013148062225
115637813831
12266b314381
131316c7289c
148ca2abc1b
1551e44c21a
hex30faf8211

13148062225 has 81 divisors (see below), whose sum is σ = 18539620401. Its totient is φ = 9246585600.

The previous prime is 13148062181. The next prime is 13148062243. The reversal of 13148062225 is 52226084131.

The square root of 13148062225 is 114665.

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 307546369 + 12840515856 = 17537^2 + 113316^2 .

It is not a de Polignac number, because 13148062225 - 213 = 13148054033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 185183940 + ... + 185184010.

Almost surely, 213148062225 is an apocalyptic number.

13148062225 is the 114665-th square number.

13148062225 is the 57333-rd centered octagonal number.

It is an amenable number.

13148062225 is a deficient number, since it is larger than the sum of its proper divisors (5391558176).

13148062225 is an equidigital number, since it uses as much as digits as its factorization.

13148062225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 13148062225 in words is "thirteen billion, one hundred forty-eight million, sixty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 19 25 71 85 95 289 323 355 361 425 475 1207 1349 1445 1615 1775 1805 5041 5491 6035 6137 6745 7225 8075 9025 20519 22933 25205 25631 27455 30175 30685 33725 85697 95779 102595 104329 114665 126025 128155 137275 153425 389861 428485 435727 478895 512975 521645 573325 640775 1456849 1628243 1819801 1949305 2142425 2178635 2394475 2608225 7284245 7407359 8141215 9099005 9746525 10893175 27680131 30936617 36421225 37036795 40706075 45495025 138400655 154683085 185183975 525922489 692003275 773415425 2629612445 13148062225