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13360465108809 = 347213244632
BaseRepresentation
bin1100001001101011100111…
…0001101101111101001001
31202022020200210012100010000
43002122321301231331021
53222344213031440214
644225413554513213
72546155531436100
oct302327161557511
952266623170100
1013360465108809
11429116127a1a5
1215b9420895809
1375bb6a700c00
143429156cd037
1518280a31d809
hexc26b9c6df49

13360465108809 has 135 divisors (see below), whose sum is σ = 25145623593783. Its totient is φ = 7045699254048.

The previous prime is 13360465108801. The next prime is 13360465108817. The reversal of 13360465108809 is 90880156406331.

The square root of 13360465108809 is 3655197.

It is a perfect power (a square), and thus also a powerful number.

13360465108809 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 0 + 46 + 510 + 8 + 80 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (13360465108801) and next prime (13360465108817).

It can be written as a sum of positive squares in only one way, i.e., 1976400164025 + 11384064944784 = 1405845^2 + 3374028^2 .

It is not a de Polignac number, because 13360465108809 - 23 = 13360465108801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13360465108801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2993604112 + ... + 2993608574.

Almost surely, 213360465108809 is an apocalyptic number.

13360465108809 is the 3655197-th square number.

13360465108809 is the 1827599-th centered octagonal number.

It is an amenable number.

13360465108809 is a deficient number, since it is larger than the sum of its proper divisors (11785158484974).

13360465108809 is an frugal number, since it uses more digits than its factorization.

13360465108809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 13360465108809 in words is "thirteen trillion, three hundred sixty billion, four hundred sixty-five million, one hundred eight thousand, eight hundred nine".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 169 189 273 351 441 507 567 637 819 1053 1183 1323 1521 1911 2457 3549 3969 4463 4563 5733 7371 8281 10647 13389 13689 17199 24843 31241 31941 40167 51597 58019 74529 93723 95823 120501 174057 218687 223587 281169 361503 406133 522171 656061 670761 754247 843507 1218399 1566513 1968183 2262741 2530521 2842931 3655197 4699539 5279729 5904549 6788223 8528793 10965591 15839187 17713647 19918369 20364669 25586379 32896773 36958103 47517561 59755107 61094007 76759137 110874309 139428583 142552683 179265321 230277411 258938797 332622927 418285749 427658049 537795963 776816391 976000081 997868781 1254857247 1613387889 1812571579 2330449173 2928000243 2993606343 3366204361 3764571741 5437714737 6991347519 8784000729 10098613083 11293715223 12688001053 16313144211 20974042557 23563430527 26352002187 30295839249 38064003159 48939432633 70690291581 79056006561 90887517747 114192009477 146818297899 164944013689 212070874743 272662553241 342576028431 494832041067 636212624229 1027728085293 1484496123201 1908637872687 4453488369603 13360465108809