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12638902638765 = 35131314798271249
BaseRepresentation
bin1011011111101011100101…
…0011010101100010101101
31122202021012212002222011110
42313322321103111202231
53124033433033420030
642514122014542233
72443062534565314
oct267727123254255
948667185088143
1012638902638765
114033146053727
121501606b07979
13708ac6c63a70
14319a247bb27b
1516db782611b0
hexb7eb94d58ad

12638902638765 has 128 divisors (see below), whose sum is σ = 22034073600000. Its totient is φ = 6149461893120.

The previous prime is 12638902638757. The next prime is 12638902638773. The reversal of 12638902638765 is 56783620983621.

It is an interprime number because it is at equal distance from previous prime (12638902638757) and next prime (12638902638773).

It is not a de Polignac number, because 12638902638765 - 23 = 12638902638757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12638902638696 and 12638902638705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10119216861 + ... + 10119218109.

It is an arithmetic number, because the mean of its divisors is an integer number (172141200000).

Almost surely, 212638902638765 is an apocalyptic number.

12638902638765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12638902638765 is a deficient number, since it is larger than the sum of its proper divisors (9395170961235).

12638902638765 is a wasteful number, since it uses less digits than its factorization.

12638902638765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707.

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 12638902638765 in words is "twelve trillion, six hundred thirty-eight billion, nine hundred two million, six hundred thirty-eight thousand, seven hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 131 195 393 479 655 827 1249 1437 1703 1965 2395 2481 3747 4135 5109 6227 6245 7185 8515 10751 12405 16237 18681 18735 25545 31135 32253 48711 53755 62749 81185 93405 108337 161265 163619 188247 243555 313745 325011 396133 490857 541685 598271 815737 818095 941235 1032923 1188399 1408381 1625055 1794813 1980665 2127047 2447211 2454285 2991355 3098769 4078685 4225143 5149729 5164615 5941995 6381141 7041905 7777523 8974065 10635235 12236055 13427999 15449187 15493845 21125715 23332569 25748645 31905705 38887615 40283997 51893423 67139995 77245935 78373501 116662845 135312913 155680269 201419985 235120503 259467115 391867505 405938739 494770117 674614499 676564565 778401345 1018855513 1175602515 1484310351 1759067869 2023843497 2029693695 2473850585 3056566539 3373072495 5094277565 5277203607 6432011521 7421551755 8795339345 10119217485 15282832695 19296034563 26386018035 32160057605 64814885327 96480172815 194444655981 324074426635 842593509251 972223279905 2527780527753 4212967546255 12638902638765