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8385335049 = 3713313761439
BaseRepresentation
bin1111100111100111…
…00000111100001001
3210122101111011012210
413303303200330021
5114133121210144
63504022455333
7414540112650
oct76363407411
923571434183
108385335049
113613337373
121760294549
13a3831b720
14597932197
15341263ab9
hex1f3ce0f09

8385335049 has 128 divisors (see below), whose sum is σ = 14861271040. Its totient is φ = 4087065600.

The previous prime is 8385334967. The next prime is 8385335071. The reversal of 8385335049 is 9405335838.

It is a happy number.

It is not a de Polignac number, because 8385335049 - 27 = 8385334921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8385334989 and 8385335007.

It is not an unprimeable number, because it can be changed into a prime (8385335149) 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, 19100772 + ... + 19101210.

It is an arithmetic number, because the mean of its divisors is an integer number (116103680).

Almost surely, 28385335049 is an apocalyptic number.

It is an amenable number.

8385335049 is a deficient number, since it is larger than the sum of its proper divisors (6475935991).

8385335049 is a wasteful number, since it uses less digits than its factorization.

8385335049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 8385335049 is about 91571.4750836744. The cubic root of 8385335049 is about 2031.6090560678.

The spelling of 8385335049 in words is "eight billion, three hundred eighty-five million, three hundred thirty-five thousand, forty-nine".

Divisors: 1 3 7 13 21 31 37 39 61 91 93 111 183 217 259 273 403 427 439 481 651 777 793 1147 1209 1281 1317 1443 1891 2257 2379 2821 3073 3367 3441 5551 5673 5707 6771 8029 8463 9219 10101 13237 13609 14911 15799 16243 16653 17121 24087 24583 26779 29341 39711 39949 40827 44733 47397 48729 69967 73749 80337 88023 95263 104377 113701 119847 172081 176917 187453 205387 209901 211159 285789 313131 341103 348127 489769 503533 516243 530751 562359 616161 633477 830149 909571 990823 1044381 1238419 1469307 1478113 1510599 2436889 2490447 2728713 2972469 3524731 3715257 4434339 5811043 6366997 6545929 6935761 7310667 10574193 10791937 12880699 17433129 19100991 19637787 20807283 30715513 32375811 38642097 45821503 75543559 90164893 92146539 137464509 215008591 226630677 270494679 399301669 645025773 1197905007 2795111683 8385335049