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449723069338956 = 223721278369719599
BaseRepresentation
bin110011001000001010100111…
…1110010111001010101001100
32011222100002211221112012021220
41212100111033302321111030
5432421230321222321311
64232251531555123340
7163504263620522100
oct14620251762712514
92158302757465256
10449723069338956
11120328534427276
1242533415ba3550
13163c291b69ac4a
147d0a9d98cb900
1536ed4e0a39206
hex199054fcb954c

449723069338956 has 144 divisors (see below), whose sum is σ = 1230437246976000. Its totient is φ = 127465145482752.

The previous prime is 449723069338931. The next prime is 449723069338969. The reversal of 449723069338956 is 659833960327944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624603645 + ... + 625323243.

It is an arithmetic number, because the mean of its divisors is an integer number (8544703104000).

Almost surely, 2449723069338956 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 449723069338956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615218623488000).

449723069338956 is an abundant number, since it is smaller than the sum of its proper divisors (780714177637044).

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

449723069338956 is a wasteful number, since it uses less digits than its factorization.

449723069338956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728116 (or 728107 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 78.

The spelling of 449723069338956 in words is "four hundred forty-nine trillion, seven hundred twenty-three billion, sixty-nine million, three hundred thirty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 127 147 196 254 294 381 508 588 762 889 1524 1778 2667 3556 5334 6223 8369 10668 12446 16738 18669 24892 25107 33476 37338 50214 58583 74676 100428 117166 175749 234332 351498 410081 702996 719599 820162 1062863 1230243 1439198 1640324 2125726 2158797 2460486 2878396 3188589 4251452 4317594 4920972 5037193 6377178 7440041 8635188 10074386 12754356 14880082 15111579 20148772 22320123 29760164 30223158 35260351 44640246 52080287 60446316 70520702 89280492 91389073 104160574 105781053 141041404 156240861 182778146 208321148 211562106 274167219 312481722 365556292 423124212 548334438 624963444 639723511 1096668876 1279447022 1919170533 2558894044 3838341066 4478064577 6022324031 7676682132 8956129154 12044648062 13434193731 17912258308 18066972093 24089296124 26868387462 36133944186 42156268217 53736774924 72267888372 84312536434 126468804651 168625072868 252937609302 295093877519 505875218604 590187755038 764835151937 885281632557 1180375510076 1529670303874 1770563265114 2294505455811 3059340607748 3541126530228 4589010911622 5353846063559 9178021823244 10707692127118 16061538190677 21415384254236 32123076381354 37476922444913 64246152762708 74953844889826 112430767334739 149907689779652 224861534669478 449723069338956