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644624426446 = 2711131137094019
BaseRepresentation
bin10010110000101101001…
…11000010010111001110
32021121212222120210111021
421120112213002113032
541030142323121241
61212045242344354
764400252134450
oct11302647022716
92247788523437
10644624426446
11229424757680
12a4b234bb0ba
1348a31b00180
14232b2aaa2d0
1511b7c8200d1
hex96169c25ce

644624426446 has 128 divisors (see below), whose sum is σ = 1311927321600. Its totient is φ = 229400156160.

The previous prime is 644624426437. The next prime is 644624426473.

644624426446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 644624426393 and 644624426402.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 160392225 + ... + 160396243.

It is an arithmetic number, because the mean of its divisors is an integer number (10249432200).

Almost surely, 2644624426446 is an apocalyptic number.

644624426446 is an abundant number, since it is smaller than the sum of its proper divisors (667302895154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

644624426446 is a wasteful number, since it uses less digits than its factorization.

644624426446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874.

The product of its digits is 21233664, while the sum is 52.

The spelling of 644624426446 in words is "six hundred forty-four billion, six hundred twenty-four million, four hundred twenty-six thousand, four hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 113 143 154 182 226 286 709 791 1001 1243 1418 1469 1582 2002 2486 2938 4019 4963 7799 8038 8701 9217 9926 10283 15598 16159 17402 18434 20566 28133 32318 44209 52247 54593 56266 64519 80117 88418 101387 104494 109186 113113 129038 160234 202774 226226 309463 365729 454147 560819 574717 618926 709709 731458 881287 908294 1041521 1121638 1149434 1419418 1762574 2083042 2849471 3179029 4023019 4995617 5698942 5903911 6169009 6358058 7290647 8046038 9991234 11456731 11807822 12338018 14581294 19946297 22913462 31344181 34969319 37043123 39892594 41327377 62688362 64943021 69938638 74086246 80197117 82654754 129886042 160394234 219409267 259301861 321990223 407474353 438818534 454601147 518603722 643980446 814948706 909202294 2253931561 2852320471 3541892453 4185872899 4507863122 5704640942 7083784906 8371745798 24793247171 29301110293 46044601889 49586494342 58602220586 92089203778 322312213223 644624426446