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644526246104 = 2313415323911933
BaseRepresentation
bin10010110000100001100…
…00100000100011011000
32021121122010211201101022
421120100300200203120
541024442204333404
61212031414142012
764364650461416
oct11302060404330
92247563751338
10644526246104
112293842992a4
12a4ab6651908
1348a176759b0
14232a3a302b6
1511b73dc98be
hex9610c208d8

644526246104 has 128 divisors (see below), whose sum is σ = 1364142124800. Its totient is φ = 283527229440.

The previous prime is 644526246103. The next prime is 644526246113. The reversal of 644526246104 is 401642625446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644526246103) 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 31 ways as a sum of consecutive naturals, for example, 54006122 + ... + 54018054.

It is an arithmetic number, because the mean of its divisors is an integer number (10657360350).

Almost surely, 2644526246104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644526246104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682071062400).

644526246104 is an abundant number, since it is smaller than the sum of its proper divisors (719615878696).

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

644526246104 is a wasteful number, since it uses less digits than its factorization.

644526246104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 644526246104 in words is "six hundred forty-four billion, five hundred twenty-six million, two hundred forty-six thousand, one hundred four".

Divisors: 1 2 4 8 13 26 41 52 53 82 104 106 164 212 239 328 424 478 533 689 956 1066 1378 1912 2132 2173 2756 3107 4264 4346 5512 6214 8692 9799 11933 12428 12667 17384 19598 23866 24856 25334 28249 39196 47732 50668 56498 78392 95464 101336 112996 127387 155129 164671 225992 254774 310258 329342 489253 509548 519347 620516 632449 658684 978506 1019096 1038694 1241032 1264898 1317368 1957012 2077388 2529796 2851987 3914024 4154776 5059592 5703974 6360289 6751511 8221837 11407948 12720578 13503022 16443674 22815896 25441156 25930409 27006044 32887348 37075831 50882312 51860818 54012088 65774696 74151662 103721636 116931467 148303324 151155311 207443272 233862934 296606648 302310622 337095317 467725868 604621244 674190634 935451736 1209242488 1348381268 1520109071 1965019043 2696762536 3040218142 3930038086 6080436284 6197367751 7860076172 12160872568 12394735502 15720152344 24789471004 49578942008 80565780763 161131561526 322263123052 644526246104