Search a number
-
+
13148243520 = 263513998533
BaseRepresentation
bin11000011111011001…
…00100011001000000
31020221022201222100020
430033230210121000
5203411422243040
610012404253440
7643553140326
oct141754443100
936838658306
1013148243520
115637927a65
12266b3a1280
131317007269
148ca317d16
1551e485cd0
hex30fb24640

13148243520 has 112 divisors (see below), whose sum is σ = 42046428480. Its totient is φ = 3480938496.

The previous prime is 13148243453. The next prime is 13148243527. The reversal of 13148243520 is 2534284131.

It is a super-2 number, since 2×131482435202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13148243527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84174 + ... + 182706.

It is an arithmetic number, because the mean of its divisors is an integer number (375414540).

Almost surely, 213148243520 is an apocalyptic number.

13148243520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13148243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023214240).

13148243520 is an abundant number, since it is smaller than the sum of its proper divisors (28898184960).

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

13148243520 is a wasteful number, since it uses less digits than its factorization.

13148243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98692 (or 98682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 13148243520 in words is "thirteen billion, one hundred forty-eight million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 417 480 556 695 834 960 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 22240 26688 33360 44480 66720 98533 133440 197066 295599 394132 492665 591198 788264 985330 1182396 1477995 1576528 1970660 2364792 2955990 3153056 3941320 4729584 5911980 6306112 7882640 9459168 11823960 13696087 15765280 18918336 23647920 27392174 31530560 41088261 47295840 54784348 68480435 82176522 94591680 109568696 136960870 164353044 205441305 219137392 273921740 328706088 410882610 438274784 547843480 657412176 821765220 876549568 1095686960 1314824352 1643530440 2191373920 2629648704 3287060880 4382747840 6574121760 13148243520