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11614205332405 = 513172316715111811
BaseRepresentation
bin1010100100000010010010…
…0101010100101110110101
31112010022021221100101111001
42221000210211110232311
53010241343031114110
640411254155243301
72306045556313534
oct251004445245665
945108257311431
1011614205332405
113778614145a45
121376ab1a49531
136632a40938a0
142c21b82a231b
151521a36b963a
hexa9024954bb5

11614205332405 has 128 divisors (see below), whose sum is σ = 16702531485696. Its totient is φ = 7665623961600.

The previous prime is 11614205332343. The next prime is 11614205332417. The reversal of 11614205332405 is 50423350241611.

It is not a de Polignac number, because 11614205332405 - 219 = 11614204808117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6413143950 + ... + 6413145760.

It is an arithmetic number, because the mean of its divisors is an integer number (130488527232).

Almost surely, 211614205332405 is an apocalyptic number.

It is an amenable number.

11614205332405 is a deficient number, since it is larger than the sum of its proper divisors (5088326153291).

11614205332405 is a wasteful number, since it uses less digits than its factorization.

11614205332405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 11614205332405 in words is "eleven trillion, six hundred fourteen billion, two hundred five million, three hundred thirty-two thousand, four hundred five".

Divisors: 1 5 13 17 23 65 85 115 167 221 299 391 835 1105 1495 1511 1811 1955 2171 2839 3841 5083 7555 9055 10855 14195 19205 19643 23543 25415 25687 30787 34753 36907 41653 49933 65297 98215 117715 128435 153935 173765 184535 208265 249665 252337 302437 326485 333931 400231 451789 541489 590801 708101 848861 1261685 1512185 1669655 2001155 2258945 2707445 2736421 2954005 3280381 3540505 3931681 4244305 4289729 5141429 5803751 6956051 7680413 9205313 13682105 16401905 19658405 21448645 25707145 29018755 34780255 35573473 38402065 46026565 46519157 55766477 62937683 66838577 75448763 90428663 98663767 118252867 177867365 232595785 278832385 314688415 334192885 377243815 452143315 456982307 493318835 591264335 604749041 818189879 1069940611 1282628971 1537287271 2284911535 3023745205 4090949395 5349703055 5940769991 6413144855 7686436355 7768699219 10510593061 13909227943 29703849955 38843496095 52552965305 69546139715 100993089847 136637709793 178680082037 504965449235 683188548965 893400410185 2322841066481 11614205332405