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5153357538 = 2347413249
BaseRepresentation
bin1001100110010100…
…11111111011100010
3111022010221200120000
410303022133323202
541023224420123
62211210200430
7241463550000
oct46312377342
914263850500
105153357538
112204a3287a
12bb9a23116
13641864ab4
1436c5c1a70
1520264ab43
hex13329fee2

5153357538 has 100 divisors (see below), whose sum is σ = 13472109750. Its totient is φ = 1472276736.

The previous prime is 5153357497. The next prime is 5153357549. The reversal of 5153357538 is 8357533515.

5153357538 is a `hidden beast` number, since 5 + 15 + 33 + 575 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4793762169 + 359595369 = 69237^2 + 18963^2 .

It is a super-2 number, since 2×51533575382 = 53114187828922842888, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5153357493 and 5153357502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 382338 + ... + 395586.

Almost surely, 25153357538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153357538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736054875).

5153357538 is an abundant number, since it is smaller than the sum of its proper divisors (8318752212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5153357538 is an equidigital number, since it uses as much as digits as its factorization.

5153357538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13291 (or 13261 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 5153357538 is about 71786.8897362185. The cubic root of 5153357538 is about 1727.2827064880.

The spelling of 5153357538 in words is "five billion, one hundred fifty-three million, three hundred fifty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2401 2646 3087 3969 4802 6174 7203 7938 9261 13249 14406 18522 21609 26498 27783 39747 43218 55566 64827 79494 92743 119241 129654 185486 194481 238482 278229 357723 388962 556458 649201 715446 834687 1073169 1298402 1669374 1947603 2146338 2504061 3895206 4544407 5008122 5842809 7512183 9088814 11685618 13633221 15024366 17528427 27266442 31810849 35056854 40899663 52585281 63621698 81799326 95432547 105170562 122698989 190865094 245397978 286297641 368096967 572595282 736193934 858892923 1717785846 2576678769 5153357538