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480531835540656 = 243247671059709951
BaseRepresentation
bin110110101000010101000100…
…1010111000101010010110000
32100000102101122211111212210200
41231100222021113011102300
51000441013144344300111
64422001135552555200
7203134164563421564
oct15520521127052260
92300371584455720
10480531835540656
1112a1264527a6109
1245a8a357552b00
1317818c5ac77a53
148693c175556a4
153a84b084ed256
hex1b50a895c54b0

480531835540656 has 120 divisors (see below), whose sum is σ = 1393933993181184. Its totient is φ = 154429411593600.

The previous prime is 480531835540607. The next prime is 480531835540663. The reversal of 480531835540656 is 656045538135084.

480531835540656 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 3 + 1 + 8 + 35 + 540 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 480531835540593 and 480531835540602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529401520 + ... + 530308431.

Almost surely, 2480531835540656 is an apocalyptic number.

It is an amenable number.

480531835540656 is an abundant number, since it is smaller than the sum of its proper divisors (913402157640528).

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

480531835540656 is a wasteful number, since it uses less digits than its factorization.

480531835540656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059710079 (or 1059710070 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 480531835540656 in words is "four hundred eighty trillion, five hundred thirty-one billion, eight hundred thirty-five million, five hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 67 72 94 134 141 144 188 201 268 282 376 402 423 536 564 603 752 804 846 1072 1128 1206 1608 1692 2256 2412 3149 3216 3384 4824 6298 6768 9447 9648 12596 18894 25192 28341 37788 50384 56682 75576 113364 151152 226728 453456 1059709951 2119419902 3179129853 4238839804 6358259706 8477679608 9537389559 12716519412 16955359216 19074779118 25433038824 38149558236 49806367697 50866077648 71000566717 76299116472 99612735394 142001133434 149419103091 152598232944 199225470788 213001700151 284002266868 298838206182 398450941576 426003400302 448257309273 568004533736 597676412364 639005100453 796901883152 852006800604 896514618546 1136009067472 1195352824728 1278010200906 1704013601208 1793029237092 2390705649456 2556020401812 3337026635699 3408027202416 3586058474184 5112040803624 6674053271398 7172116948368 10011079907097 10224081607248 13348106542796 20022159814194 26696213085592 30033239721291 40044319628388 53392426171184 60066479442582 80088639256776 120132958885164 160177278513552 240265917770328 480531835540656