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13004255348 = 2271923147883
BaseRepresentation
bin11000001110001110…
…10011000001110100
31020120021210121200222
430013013103001310
5203113042132343
65550222153512
7640154226620
oct140707230164
936507717628
1013004255348
115573621577
12262b122898
1312c3231866
148b5156180
155119e2a68
hex3071d3074

13004255348 has 144 divisors (see below), whose sum is σ = 28970532864. Its totient is φ = 4995224640.

The previous prime is 13004255347. The next prime is 13004255387. The reversal of 13004255348 is 84355240031.

It is a super-2 number, since 2×130042553482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004255347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14726915 + ... + 14727797.

It is an arithmetic number, because the mean of its divisors is an integer number (201184256).

Almost surely, 213004255348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13004255348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14485266432).

13004255348 is an abundant number, since it is smaller than the sum of its proper divisors (15966277516).

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

13004255348 is a wasteful number, since it uses less digits than its factorization.

13004255348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13004255348 its reverse (84355240031), we get a palindrome (97359495379).

The spelling of 13004255348 in words is "thirteen billion, four million, two hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 31 38 47 62 76 94 124 133 188 217 266 329 361 434 532 589 658 722 868 883 893 1178 1316 1444 1457 1766 1786 2356 2527 2914 3532 3572 4123 5054 5828 6181 6251 8246 10108 10199 11191 12362 12502 16492 16777 16967 20398 22382 24724 25004 27373 27683 33554 33934 40796 41501 44764 54746 55366 67108 67868 78337 83002 109492 110732 117439 118769 156674 166004 191611 193781 234878 237538 290507 313348 318763 383222 387562 469756 475076 520087 525977 581014 637526 766444 775124 788519 1040174 1051954 1162028 1275052 1286531 1577038 2080348 2103908 2231341 2573062 3154076 3640609 3681839 4462682 5146124 5519633 7281218 7363678 8925364 9005717 9881653 11039266 14562436 14727356 14981861 18011434 19763306 22078532 24444089 29963722 36022868 39526612 48888178 59927444 69171571 97776356 104873027 138343142 171108623 209746054 276686284 342217246 419492108 464437691 684434492 928875382 1857750764 3251063837 6502127674 13004255348