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13300161163506 = 23272572333176051
BaseRepresentation
bin1100000110001010111101…
…1000011011000011110010
31202002111001002200111210100
43001202233120123003302
53220402212224213011
644142002032013230
72541622251400350
oct301425730330362
952074032614710
1013300161163506
114268626273578
1215a97b1091216
13756279cc4239
1433da3471a7d0
15180e7b07cd56
hexc18af61b0f2

13300161163506 has 96 divisors (see below), whose sum is σ = 33076238502528. Its totient is φ = 3783615897600.

The previous prime is 13300161163463. The next prime is 13300161163519. The reversal of 13300161163506 is 60536116100331.

13300161163506 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 1 + 6 + 11 + 635 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75459181 + ... + 75635231.

It is an arithmetic number, because the mean of its divisors is an integer number (344544151068).

Almost surely, 213300161163506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300161163506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538119251264).

13300161163506 is an abundant number, since it is smaller than the sum of its proper divisors (19776077339022).

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

13300161163506 is a wasteful number, since it uses less digits than its factorization.

13300161163506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178656 (or 178653 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 13300161163506 its reverse (60536116100331), we get a palindrome (73836277263837).

The spelling of 13300161163506 in words is "thirteen trillion, three hundred billion, one hundred sixty-one million, one hundred sixty-three thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 514 771 1542 1799 2313 2333 3598 4626 4666 5397 6999 10794 13998 16191 16331 20997 32382 32662 41994 48993 97986 146979 176051 293958 352102 528153 599581 1056306 1199162 1232357 1584459 1798743 2464714 3168918 3597486 3697071 4197067 5396229 7394142 8394134 10792458 11091213 12591201 22182426 25182402 37773603 45245107 75547206 90490214 135735321 271470642 316715749 407205963 410726983 633431498 814411926 821453966 950147247 1232180949 1900294494 2464361898 2850441741 2875088881 3696542847 5700883482 5750177762 7393085694 8625266643 17250533286 25875799929 51751599858 105556834631 211113669262 316670503893 633341007786 738897842417 950011511679 1477795684834 1900023023358 2216693527251 4433387054502 6650080581753 13300161163506