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8164085853 = 3721137612237
BaseRepresentation
bin1111001101001111…
…00001000001011101
3210001222011112101010
413212213201001131
5113210001221403
63430040405433
7406212404400
oct74647410135
923058145333
108164085853
11350a4605a0
1216ba176879
13a01534541
145763bbd37
1532bb0d603
hex1e69e105d

8164085853 has 96 divisors (see below), whose sum is σ = 14426183808. Its totient is φ = 4056998400.

The previous prime is 8164085837. The next prime is 8164085869. The reversal of 8164085853 is 3585804618.

It is an interprime number because it is at equal distance from previous prime (8164085837) and next prime (8164085869).

It is not a de Polignac number, because 8164085853 - 24 = 8164085837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8164085873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3648451 + ... + 3650687.

It is an arithmetic number, because the mean of its divisors is an integer number (150272748).

Almost surely, 28164085853 is an apocalyptic number.

It is an amenable number.

8164085853 is a deficient number, since it is larger than the sum of its proper divisors (6262097955).

8164085853 is a wasteful number, since it uses less digits than its factorization.

8164085853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 8164085853 is about 90355.3310712766. The cubic root of 8164085853 is about 2013.5813853081.

The spelling of 8164085853 in words is "eight billion, one hundred sixty-four million, eighty-five thousand, eight hundred fifty-three".

Divisors: 1 3 7 11 21 33 37 49 61 77 111 147 183 231 259 407 427 539 671 777 1221 1281 1617 1813 2013 2237 2257 2849 2989 4697 5439 6711 6771 8547 8967 14091 15659 15799 19943 24607 24827 32879 46977 47397 59829 73821 74481 82769 98637 109613 110593 136457 172249 173789 248307 328839 331779 409371 516747 521367 579383 910459 955199 1205743 1216523 1501027 1738149 2731377 2865597 3617229 3649569 4055681 4503081 5048909 6373213 6686393 10507189 12167043 15146727 19119639 20059179 31521567 35342363 44612491 55537999 73550323 106027089 133837473 166613997 220650969 247396541 388765993 742189623 1166297979 2721361951 8164085853