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5258063382 = 231113171918973
BaseRepresentation
bin1001110010110011…
…11010111000010110
3111120102222021222020
410321121322320112
541232031012012
62225430314010
7244204541565
oct47131727026
914512867866
105258063382
112259048930
121028ab8906
1365a465510
1437c479bdc
1520b92ea8c
hex13967ae16

5258063382 has 128 divisors (see below), whose sum is σ = 13770570240. Its totient is φ = 1311344640.

The previous prime is 5258063381. The next prime is 5258063389. The reversal of 5258063382 is 2833608525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258063381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267648 + ... + 286620.

It is an arithmetic number, because the mean of its divisors is an integer number (107582580).

Almost surely, 25258063382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5258063382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885285120).

5258063382 is an abundant number, since it is smaller than the sum of its proper divisors (8512506858).

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

5258063382 is a wasteful number, since it uses less digits than its factorization.

5258063382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19038.

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5258063382 is about 72512.5050043094. The cubic root of 5258063382 is about 1738.9026619163.

The spelling of 5258063382 in words is "five billion, two hundred fifty-eight million, sixty-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 13 17 19 22 26 33 34 38 39 51 57 66 78 102 114 143 187 209 221 247 286 323 374 418 429 442 494 561 627 646 663 741 858 969 1122 1254 1326 1482 1938 2431 2717 3553 4199 4862 5434 7106 7293 8151 8398 10659 12597 14586 16302 18973 21318 25194 37946 46189 56919 92378 113838 138567 208703 246649 277134 322541 360487 417406 493298 626109 645082 720974 739947 967623 1081461 1252218 1479894 1935246 2162922 2713139 3547951 3965357 4193033 4686331 5426278 6128279 7095902 7930714 8139417 8386066 9372662 10643853 11896071 12256558 12579099 14058993 16278834 18384837 21287706 23792142 25158198 28117986 36769674 46123363 51549641 67411069 79667627 92246726 103099282 134822138 138370089 154648923 159335254 202233207 239002881 276740178 309297846 404466414 478005762 876343897 1752687794 2629031691 5258063382