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2269920452085 = 345111323014923
BaseRepresentation
bin100001000010000001110…
…011010101110111110101
322001000001122210112010000
4201002001303111313311
5244142244113431320
64454442001021513
7322665513330426
oct41020163256765
98030048715100
102269920452085
117a5738a11580
12307b13924899
1313608b698500
147bc16b9b64d
153e0a4a9cc90
hex21081cd5df5

2269920452085 has 120 divisors (see below), whose sum is σ = 4806681273504. Its totient is φ = 1015908117120.

The previous prime is 2269920452081. The next prime is 2269920452161. The reversal of 2269920452085 is 5802540299622.

2269920452085 is a `hidden beast` number, since 2 + 2 + 6 + 99 + 20 + 4 + 520 + 8 + 5 = 666.

It is not a de Polignac number, because 2269920452085 - 22 = 2269920452081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269920452081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 754567 + ... + 2260356.

Almost surely, 22269920452085 is an apocalyptic number.

It is an amenable number.

2269920452085 is an abundant number, since it is smaller than the sum of its proper divisors (2536760821419).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2269920452085 is a wasteful number, since it uses less digits than its factorization.

2269920452085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014977 (or 3014955 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2269920452085 in words is "two trillion, two hundred sixty-nine billion, nine hundred twenty million, four hundred fifty-two thousand, eighty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 169 195 297 351 405 429 495 507 585 715 845 891 1053 1287 1485 1521 1755 1859 2145 2535 3861 4455 4563 5265 5577 6435 7605 9295 11583 13689 16731 19305 22815 27885 50193 57915 68445 83655 150579 250965 752895 3014923 9044769 15074615 27134307 33164153 39193999 45223845 81402921 99492459 117581997 135671535 165820765 195969995 244208763 298477377 352745991 407014605 431133989 497462295 509521987 587909985 895432131 1058237973 1221043815 1293401967 1492386885 1528565961 1763729955 2155669945 2547609935 2686296393 3174713919 3880205901 4477160655 4585697883 5291189865 5604741857 6467009835 7642829805 11640617703 13431481965 13757093649 15873569595 16814225571 19401029505 22928489415 28023709285 34921853109 41271280947 50442676713 58203088515 68785468245 84071127855 151328030139 174609265545 206356404735 252213383565 453984090417 756640150695 2269920452085