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645332004333 = 324389151167743
BaseRepresentation
bin10010110010000001100…
…10001110110111101101
32021200201022000110212200
421121000302032313231
541033114443114313
61212243400252113
764423633346652
oct11310062166755
92250638013780
10645332004333
11229758102395
12a50a0471039
1348b15593803
142333ca57c29
1511bbe9dcb73
hex9640c8eded

645332004333 has 96 divisors (see below), whose sum is σ = 978057400320. Its totient is φ = 409719340800.

The previous prime is 645332004281. The next prime is 645332004341. The reversal of 645332004333 is 333400233546.

645332004333 is a `hidden beast` number, since 64 + 533 + 20 + 0 + 43 + 3 + 3 = 666.

645332004333 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 645332004333 - 26 = 645332004269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645332004433) 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, 868548760 + ... + 868549502.

It is an arithmetic number, because the mean of its divisors is an integer number (10188097920).

Almost surely, 2645332004333 is an apocalyptic number.

It is an amenable number.

645332004333 is a deficient number, since it is larger than the sum of its proper divisors (332725395987).

645332004333 is a wasteful number, since it uses less digits than its factorization.

645332004333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 645332004333 its reverse (333400233546), we get a palindrome (978732237879).

The spelling of 645332004333 in words is "six hundred forty-five billion, three hundred thirty-two million, four thousand, three hundred thirty-three".

Divisors: 1 3 9 43 89 129 151 167 267 387 453 501 743 801 1359 1503 2229 3827 6493 6687 7181 11481 13439 14863 19479 21543 25217 31949 34443 40317 44589 58437 64629 66127 75651 95847 112193 120951 124081 133767 198381 226953 287541 336579 372243 577877 595143 639109 1009737 1084331 1116729 1733631 1917327 2244313 2843461 3252993 4824299 5200893 5335483 5751981 6732939 8530383 9758979 9985177 11043209 14472897 16006449 18736231 20198817 25591149 29955531 33129627 43418691 48019347 56208693 89866593 96505459 99388881 168626079 289516377 429362611 474857987 805657933 868549131 1288087833 1424573961 1667524559 2416973799 3864263499 4273721883 5002573677 7250921397 15007721031 71703556037 215110668111 645332004333