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8464317422500 = 225431218772
BaseRepresentation
bin111101100101100000010…
…1000100001101110100100
31002222011212211112100212101
41323023000220201232210
52102134410230010000
630000242001501444
71532345450663452
oct173130050415644
932864784470771
108464317422500
112773773580065
12b48536941884
1349524929c044
142139648759d2
15ea29a137e6a
hex7b2c0a21ba4

8464317422500 has 135 divisors (see below), whose sum is σ = 19136314776117. Its totient is φ = 3274764360000.

The previous prime is 8464317422453. The next prime is 8464317422513. The reversal of 8464317422500 is 52247134648.

The square root of 8464317422500 is 2909350.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5535263165796 + 2929054256704 = 2352714^2 + 1711448^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 4509491562 + ... + 4509493438.

Almost surely, 28464317422500 is an apocalyptic number.

8464317422500 is the 2909350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8464317422500

8464317422500 is an abundant number, since it is smaller than the sum of its proper divisors (10671997353617).

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

8464317422500 is an frugal number, since it uses more digits than its factorization.

8464317422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 8464317422500 in words is "eight trillion, four hundred sixty-four billion, three hundred seventeen million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 625 775 961 1250 1550 1877 1922 2500 3100 3754 3844 3875 4805 7508 7750 9385 9610 15500 18770 19220 19375 24025 37540 38750 46925 48050 58187 77500 93850 96100 116374 120125 187700 232748 234625 240250 290935 469250 480500 581870 600625 938500 1163740 1173125 1201250 1454675 1803797 2346250 2402500 2909350 3523129 3607594 4692500 5818700 7046258 7215188 7273375 9018985 14092516 14546750 17615645 18037970 29093500 35231290 36075940 36366875 45094925 70462580 72733750 88078225 90189850 109216999 145467500 176156450 180379700 218433998 225474625 352312900 436867996 440391125 450949250 546084995 880782250 901898500 1092169990 1127373125 1761564500 2184339980 2201955625 2254746250 2730424975 3385726969 4403911250 4509492500 5460849950 6771453938 8807822500 10921699900 13542907876 13652124875 16928634845 27304249750 33857269690 54608499500 67714539380 68260624375 84643174225 136521248750 169286348450 273042497500 338572696900 423215871125 846431742250 1692863484500 2116079355625 4232158711250 8464317422500