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49054601202201 = 3472107210392
BaseRepresentation
bin10110010011101011010100…
…00101000100101000011001
320102200120111111112022010000
423021311222011010220121
522412202310401432301
6252155212300043213
713222035514265400
oct1311655205045031
9212616444468100
1049054601202201
11146a2a375895a1
12560313a833509
13214aaa154570a
14c18380a22637
155a1051bbc786
hex2c9d6a144a19

49054601202201 has 135 divisors (see below), whose sum is σ = 86130035860869. Its totient is φ = 27742499970192.

The previous prime is 49054601202169. The next prime is 49054601202247. The reversal of 49054601202201 is 10220210645094.

It is a happy number.

The square root of 49054601202201 is 7003899.

It is a perfect power (a square), and thus also a powerful number.

49054601202201 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 4 + 601 + 20 + 2 + 20 + 1 = 666.

It is not a de Polignac number, because 49054601202201 - 25 = 49054601202169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49054601202281) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47213282640 + ... + 47213283678.

Almost surely, 249054601202201 is an apocalyptic number.

49054601202201 is the 7003899-th square number.

49054601202201 is the 3501950-th centered octagonal number.

It is an amenable number.

49054601202201 is a deficient number, since it is larger than the sum of its proper divisors (37075434658668).

49054601202201 is an frugal number, since it uses more digits than its factorization.

49054601202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 49054601202201 its reverse (10220210645094), we get a palindrome (59274811847295).

The spelling of 49054601202201 in words is "forty-nine trillion, fifty-four billion, six hundred one million, two hundred two thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 107 147 189 321 441 567 749 963 1039 1323 2247 2889 3117 3969 5243 6741 7273 8667 9351 11449 15729 20223 21819 28053 34347 47187 50911 60669 65457 80143 84159 103041 111173 141561 152733 196371 240429 309123 333519 424683 458199 561001 589113 721287 778211 927369 1000557 1079521 1374597 1683003 2163861 2334633 3001671 3238563 4123791 5049009 5447477 6491583 7003899 7556647 9005013 9715689 11895511 15147027 16342431 21011697 22669941 29147067 35686533 45441081 49027293 52896529 63035091 68009823 83268577 87441201 107059599 115508747 147081879 158689587 204029469 249805731 321178797 346526241 441245637 476068761 582880039 612088407 749417193 808561229 963536391 1039578723 1428206283 1748640117 2248251579 2425683687 3118736169 4284618849 5245920351 5659928603 6744754737 7277051061 9356208507 12359435929 15737761053 16979785809 21831153183 37078307787 47213283159 50939357427 65493459549 86516051503 111234923361 152818072281 259548154509 333704770083 458454216843 605612360521 778644463527 1001114310249 1816837081563 2335933390581 5450511244689 7007800171743 16351533734067 49054601202201