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644435219869 = 73192331331419
BaseRepresentation
bin10010110000010110101…
…01010001010110011101
32021121101210120002212021
421120023111101112131
541024300404013434
61212014403140141
764362463663000
oct11301325212635
92247353502767
10644435219869
11229337976a01
12a4a90074651
1348a0185490c
14232958d7537
1511b6ade8cb4
hex960b55159d

644435219869 has 128 divisors (see below), whose sum is σ = 856719360000. Its totient is φ = 481785796800.

The previous prime is 644435219843. The next prime is 644435219873. The reversal of 644435219869 is 968912534446.

It is not a de Polignac number, because 644435219869 - 217 = 644435088797 is a prime.

It is a super-2 number, since 2×6444352198692 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644435219809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1538031342 + ... + 1538031760.

It is an arithmetic number, because the mean of its divisors is an integer number (6693120000).

Almost surely, 2644435219869 is an apocalyptic number.

It is an amenable number.

644435219869 is a deficient number, since it is larger than the sum of its proper divisors (212284140131).

644435219869 is a wasteful number, since it uses less digits than its factorization.

644435219869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 830 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The spelling of 644435219869 in words is "six hundred forty-four billion, four hundred thirty-five million, two hundred nineteen thousand, eight hundred sixty-nine".

Divisors: 1 7 19 23 31 49 133 161 217 331 343 419 437 589 713 931 1127 1519 2317 2933 3059 4123 4991 6289 6517 7613 7889 7961 9637 10261 10633 12989 13547 16219 20531 21413 28861 34937 44023 53291 55727 67459 71827 90923 94829 113533 138689 143717 144647 149891 183103 194959 202027 236003 244559 246791 298747 308161 373037 390089 472213 502789 636461 663803 970823 1012529 1281721 1364713 1652021 1727537 2091229 2157127 2611259 2635091 2730623 3189847 3305491 3519523 4299359 4455227 4484057 4646621 5676193 6795761 7087703 8972047 9552991 11564147 12092759 14638603 18445637 22328929 30095513 31388399 39733351 47570327 49613921 60607093 62804329 66870937 80949029 81687821 84649313 98885257 102470221 129119459 156302503 210668591 219718793 278133457 424249651 571814747 692196799 903836213 1094117521 1474680137 1538031551 1878819883 1946934199 2969747557 4002703229 4845377593 13151739181 20788232899 28018922603 33917643151 92062174267 644435219869