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2264543246205 = 3252924163111411
BaseRepresentation
bin100000111101000001010…
…010111011011101111101
322000111011220122011100200
4200331001102323131331
5244100241032334310
64452152232514113
7322415330665362
oct40750122733575
98014156564320
102264543246205
117a3429698179
12306a72b4b939
13135712649496
147b86698a469
153dd8c9869c0
hex20f414bb77d

2264543246205 has 96 divisors (see below), whose sum is σ = 4084228811520. Its totient is φ = 1159329024000.

The previous prime is 2264543246191. The next prime is 2264543246239. The reversal of 2264543246205 is 5026423454622.

2264543246205 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 5 + 432 + 4 + 6 + 205 = 666.

It is not a de Polignac number, because 2264543246205 - 212 = 2264543242109 is a prime.

It is a super-2 number, since 2×22645432462052 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198446950 + ... + 198458360.

It is an arithmetic number, because the mean of its divisors is an integer number (42544050120).

Almost surely, 22264543246205 is an apocalyptic number.

It is an amenable number.

2264543246205 is a deficient number, since it is larger than the sum of its proper divisors (1819685565315).

2264543246205 is a wasteful number, since it uses less digits than its factorization.

2264543246205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 2264543246205 in words is "two trillion, two hundred sixty-four billion, five hundred forty-three million, two hundred forty-six thousand, two hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 241 261 435 631 723 1205 1305 1893 2169 3155 3615 5679 6989 9465 10845 11411 18299 20967 28395 34233 34945 54897 57055 62901 91495 102699 104835 152071 164691 171165 274485 314505 330919 456213 513495 760355 823455 992757 1368639 1654595 2281065 2750051 2978271 4410059 4963785 6843195 7200341 8250153 13230177 13750255 14891355 21601023 22050295 24750459 36001705 39690531 41250765 64803069 66150885 79751479 108005115 123752295 198452655 208809889 239254437 324015345 398757395 626429667 717763311 1044049445 1196272185 1735282181 1879289001 3132148335 3588816555 5205846543 8676410905 9396445005 15617539629 26029232715 50323183249 78087698145 150969549747 251615916245 452908649241 754847748735 2264543246205