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2005243642215 = 335114730839319
BaseRepresentation
bin11101001011100001110…
…101011100000101100111
321002200212212200110211000
4131023201311130011213
5230323214333022330
64133110214244343
7264605543504502
oct35134165340547
97080785613730
102005243642215
117034678398a0
122847680566b3
1311712aa1a848
146d0a9054139
153726350e560
hex1d2e1d5c167

2005243642215 has 128 divisors (see below), whose sum is σ = 3973415731200. Its totient is φ = 951142677120.

The previous prime is 2005243642187. The next prime is 2005243642219. The reversal of 2005243642215 is 5122463425002.

2005243642215 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 2 + 4 + 3 + 642 + 2 + 1 + 5 = 666.

It is not a de Polignac number, because 2005243642215 - 26 = 2005243642151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005243642215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005243642219) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215173326 + ... + 215182644.

It is an arithmetic number, because the mean of its divisors is an integer number (31042310400).

Almost surely, 22005243642215 is an apocalyptic number.

2005243642215 is a deficient number, since it is larger than the sum of its proper divisors (1968172088985).

2005243642215 is a wasteful number, since it uses less digits than its factorization.

2005243642215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12474 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2005243642215 in words is "two trillion, five billion, two hundred forty-three million, six hundred forty-two thousand, two hundred fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 99 135 141 165 235 297 423 495 517 705 1269 1485 1551 2115 2585 3083 4653 6345 7755 9249 9319 13959 15415 23265 27747 27957 33913 46245 46595 69795 83241 83871 101739 102509 138735 139785 144901 169565 251613 305217 307527 416205 419355 434703 437993 508695 512545 724505 915651 922581 1258065 1304109 1313979 1526085 1537635 1593911 2173515 2189965 2767743 3912327 3941937 4578255 4612905 4781733 4817923 6520545 6569895 7969555 11825811 13838715 14345199 14453769 19561635 19709685 23908665 24089615 28730477 43035597 43361307 59129055 71725995 72268845 86191431 130083921 143652385 215177985 216806535 258574293 316035247 430957155 650419605 775722879 948105741 1292871465 1350332419 1580176235 2844317223 3878614395 4050997257 4740528705 6751662095 8532951669 12152991771 14221586115 14853656609 20254986285 36458975313 42664758345 44560969827 60764958855 74268283045 133682909481 182294876565 222804849135 401048728443 668414547405 2005243642215