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81643653 = 33721347101
BaseRepresentation
bin1001101110111…
…00100010000101
312200121221001000
410313130202011
5131400044103
612033523513
72010650100
oct467344205
9180557030
1081643653
11420a40a3
1223413599
1313bb7570
14abb3737
15727aaa3
hex4ddc885

81643653 has 96 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 41731200.

The previous prime is 81643651. The next prime is 81643657. The reversal of 81643653 is 35634618.

81643653 is a `hidden beast` number, since 8 + 1 + 643 + 6 + 5 + 3 = 666.

It is not a de Polignac number, because 81643653 - 21 = 81643651 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81643651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808303 + ... + 808403.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 281643653 is an apocalyptic number.

It is an amenable number.

81643653 is a deficient number, since it is larger than the sum of its proper divisors (74636667).

81643653 is a wasteful number, since it uses less digits than its factorization.

81643653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 81643653 is about 9035.6877436087. The cubic root of 81643653 is about 433.8179083493.

The spelling of 81643653 in words is "eighty-one million, six hundred forty-three thousand, six hundred fifty-three".

Divisors: 1 3 7 9 13 21 27 39 47 49 63 91 101 117 141 147 189 273 303 329 351 423 441 611 637 707 819 909 987 1269 1313 1323 1833 1911 2121 2303 2457 2727 2961 3939 4277 4747 4949 5499 5733 6363 6909 8883 9191 11817 12831 14241 14847 16497 17199 19089 20727 27573 29939 33229 35451 38493 42723 44541 61711 62181 64337 82719 89817 99687 115479 128169 133623 185133 193011 232603 248157 269451 299061 431977 555399 579033 697809 808353 897183 1295931 1666197 1737099 2093427 3023839 3887793 6280281 9071517 11663379 27214551 81643653