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490757842224 = 2432132311398129
BaseRepresentation
bin1110010010000110111…
…00100110010100110000
31201220201202110110012200
413021003130212110300
531020033001422344
61013241231423200
750312302555056
oct7110334462460
91656652413180
10490757842224
1117a14700a581
127b141984b00
1337380472770
1419a779b41d6
15cb74571069
hex7243726530

490757842224 has 120 divisors (see below), whose sum is σ = 1543397987040. Its totient is φ = 144437078016.

The previous prime is 490757842219. The next prime is 490757842231. The reversal of 490757842224 is 422248757094.

490757842224 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 578 + 42 + 2 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5656009 + ... + 5742120.

It is an arithmetic number, because the mean of its divisors is an integer number (12861649892).

Almost surely, 2490757842224 is an apocalyptic number.

It is an amenable number.

490757842224 is an abundant number, since it is smaller than the sum of its proper divisors (1052640144816).

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

490757842224 is a wasteful number, since it uses less digits than its factorization.

490757842224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398179 (or 11398170 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 490757842224 in words is "four hundred ninety billion, seven hundred fifty-seven million, eight hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1656 1794 1872 2392 2691 3312 3588 4784 5382 7176 10764 14352 21528 43056 11398129 22796258 34194387 45592516 68388774 91185032 102583161 136777548 148175677 182370064 205166322 262156967 273555096 296351354 410332644 444527031 524313934 547110192 592702708 786470901 820665288 889054062 1048627868 1185405416 1333581093 1572941802 1641330576 1778108124 2097255736 2359412703 2370810832 2667162186 3145883604 3408040571 3556216248 4194511472 4718825406 5334324372 6291767208 6816081142 7112432496 9437650812 10224121713 10668648744 12583534416 13632162284 18875301624 20448243426 21337297488 27264324568 30672365139 37750603248 40896486852 54528649136 61344730278 81792973704 122689460556 163585947408 245378921112 490757842224