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664838510084 = 2271719761711491
BaseRepresentation
bin10011010110010110111…
…01101001011000000100
32100120001201221122021122
421223023131221120010
541343042124310314
61225231140333112
766014214044060
oct11531335513004
92316051848248
10664838510084
11236a58008921
12a8a250a4198
134a9039535c8
142426d59caa0
151246227828e
hex9acb769604

664838510084 has 96 divisors (see below), whose sum is σ = 1417456744704. Its totient is φ = 266353274880.

The previous prime is 664838510041. The next prime is 664838510087. The reversal of 664838510084 is 480015838466.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (664838510087) 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 31 ways as a sum of consecutive naturals, for example, 57851579 + ... + 57863069.

It is an arithmetic number, because the mean of its divisors is an integer number (14765174424).

Almost surely, 2664838510084 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 664838510084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708728372352).

664838510084 is an abundant number, since it is smaller than the sum of its proper divisors (752618234620).

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

664838510084 is a wasteful number, since it uses less digits than its factorization.

664838510084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333 (or 12331 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 664838510084 in words is "six hundred sixty-four billion, eight hundred thirty-eight million, five hundred ten thousand, eighty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 197 238 394 476 617 788 1234 1379 2468 2758 3349 4319 5516 6698 8638 10489 11491 13396 17276 20978 22982 23443 41956 45964 46886 73423 80437 93772 121549 146846 160874 195347 243098 293692 321748 390694 486196 781388 850843 1367429 1701686 2066333 2263727 2734858 3403372 4132666 4527454 5469716 7089947 8265332 9054908 14179894 14464331 15846089 28359788 28928662 31692178 38483359 49629629 57857324 63384356 76966718 99259258 120529099 153933436 198518516 241058198 269383513 482116396 538767026 843703693 1077534052 1396719559 1687407386 2793439118 3374814772 5586878236 9777036913 19554073826 23744232503 39108147652 47488465006 94976930012 166209627521 332419255042 664838510084