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438085221275724 = 2231117503388121557
BaseRepresentation
bin110001110011011111010100…
…1111111101101100001001100
32010110010112112022012122021120
41203212332221333231201030
5424410042013121310344
64151421323342000540
7161163420114255651
oct14346765177554114
92113115468178246
10438085221275724
11117650998608770
1241173a26276150
1315a5a34a33ab09
147a2761b62dc28
15359a906901219
hex18e6fa9fed84c

438085221275724 has 96 divisors (see below), whose sum is σ = 1183069028123136. Its totient is φ = 124695693511680.

The previous prime is 438085221275677. The next prime is 438085221275749. The reversal of 438085221275724 is 427572122580834.

It is a super-2 number, since 2×4380852212757242 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192932047 + ... + 195189510.

It is an arithmetic number, because the mean of its divisors is an integer number (12323635709616).

Almost surely, 2438085221275724 is an apocalyptic number.

438085221275724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

438085221275724 is an abundant number, since it is smaller than the sum of its proper divisors (744983806847412).

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

438085221275724 is a wasteful number, since it uses less digits than its factorization.

438085221275724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388122095 (or 388122093 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 60.

The spelling of 438085221275724 in words is "four hundred thirty-eight trillion, eighty-five billion, two hundred twenty-one million, two hundred seventy-five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 503 561 748 1006 1122 1509 2012 2244 3018 5533 6036 8551 11066 16599 17102 22132 25653 33198 34204 51306 66396 94061 102612 188122 282183 376244 564366 1128732 388121557 776243114 1164364671 1552486228 2328729342 4269337127 4657458684 6598066469 8538674254 12808011381 13196132938 17077348508 19794199407 25616022762 26392265876 39588398814 51232045524 72578731159 79176797628 145157462318 195225143171 217736193477 290314924636 390450286342 435472386954 585675429513 780900572684 870944773908 1171350859026 2147476574881 2342701718052 3318827433907 4294953149762 6442429724643 6637654867814 8589906299524 9956482301721 12884859449286 13275309735628 19912964603442 25769718898572 36507101772977 39825929206884 73014203545954 109521305318931 146028407091908 219042610637862 438085221275724