Search a number
-
+
13520006876298 = 23132322393736067
BaseRepresentation
bin1100010010111101111100…
…1101010000110010001010
31202212111111112011212021110
43010233133031100302022
53233002433230020143
644431001100351150
72563534242204336
oct304573715206212
952774445155243
1013520006876298
1143428914634aa
121624326b454b6
13770c14a4a920
1434a52c4007c6
15186a46943533
hexc4bdf350c8a

13520006876298 has 128 divisors (see below), whose sum is σ = 30555784691712. Its totient is φ = 3956951471616.

The previous prime is 13520006876281. The next prime is 13520006876309. The reversal of 13520006876298 is 89267860002531.

13520006876298 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374840061 + ... + 374876127.

It is an arithmetic number, because the mean of its divisors is an integer number (238717067904).

Almost surely, 213520006876298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13520006876298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277892345856).

13520006876298 is an abundant number, since it is smaller than the sum of its proper divisors (17035777815414).

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

13520006876298 is a wasteful number, since it uses less digits than its factorization.

13520006876298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37268.

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 13520006876298 in words is "thirteen trillion, five hundred twenty billion, six million, eight hundred seventy-six thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 223 299 446 598 669 897 937 1338 1794 1874 2811 2899 5129 5622 5798 8697 10258 12181 15387 17394 21551 24362 30774 36067 36543 43102 64653 66677 72134 73086 108201 129306 133354 200031 208951 216402 280163 400062 417902 468871 560326 626853 829541 840489 937742 1253706 1406613 1659082 1680978 2488623 2716363 2813226 4805873 4977246 5432726 8042941 8149089 9611746 10784033 14417619 16085882 16298178 21568066 24128823 28835238 32352099 33794779 48257646 62476349 64704198 67589558 101384337 104558233 124952698 184987643 187429047 202768674 209116466 313674699 369975286 374858094 439332127 554962929 627349398 777279917 878664254 1109925858 1317996381 1554559834 2331839751 2404839359 2635992762 4663679502 4809678718 7214518077 7536235717 10104638921 14429036154 15072471434 20209277842 22608707151 30313916763 45217414302 60627833526 97971064321 173333421491 195942128642 293913192963 346666842982 520000264473 587826385926 1040000528946 2253334479383 4506668958766 6760003438149 13520006876298