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2245045134717 = 32711291071044023
BaseRepresentation
bin100000101010110111000…
…111100010010101111101
321221121212001111110201100
4200222313013202111331
5243240323023302332
64435205352403313
7321125211532320
oct40526707422575
97847761443640
102245045134717
117961334a5450
123031310a6539
13133925c383c8
147a9371cc7b7
153d5ead0867c
hex20ab71e257d

2245045134717 has 96 divisors (see below), whose sum is σ = 4221531924480. Its totient is φ = 1115516626560.

The previous prime is 2245045134679. The next prime is 2245045134749. The reversal of 2245045134717 is 7174315405422.

2245045134717 is a `hidden beast` number, since 2 + 2 + 4 + 504 + 5 + 134 + 7 + 1 + 7 = 666.

It is not a de Polignac number, because 2245045134717 - 219 = 2245044610429 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245045134797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1628368 + ... + 2672390.

It is an arithmetic number, because the mean of its divisors is an integer number (43974290880).

Almost surely, 22245045134717 is an apocalyptic number.

It is an amenable number.

2245045134717 is a deficient number, since it is larger than the sum of its proper divisors (1976486789763).

2245045134717 is a wasteful number, since it uses less digits than its factorization.

2245045134717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044183 (or 1044180 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 2245045134717 in words is "two trillion, two hundred forty-five billion, forty-five million, one hundred thirty-four thousand, seven hundred seventeen".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 107 203 231 261 319 321 609 693 749 957 963 1177 1827 2233 2247 2871 3103 3531 6699 6741 8239 9309 10593 20097 21721 24717 27927 34133 65163 74151 102399 195489 238931 307197 716793 1044023 2150379 3132069 7308161 9396207 11484253 21924483 30276667 34452759 65773449 80389771 90830001 103358277 111710461 211936669 241169313 272490003 333043337 335131383 635810007 723507939 781973227 999130011 1005394149 1228815071 1907430021 2331303359 2345919681 2997390033 3239603369 3686445213 6993910077 7037759043 8601705497 9718810107 11059335639 20981730231 22677223583 25805116491 29156430321 35635637059 68031670749 77415349473 106906911177 204095012247 249449459413 320720733531 748348378239 2245045134717