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643255305552 = 24336749145263
BaseRepresentation
bin10010101110001010000…
…00010000010101010000
32021111100120100020201000
421113011000100111100
541014341324234202
61211301333342000
764321315611366
oct11270500202520
92244316306630
10643255305552
11228891939902
12a4800a97900
1348874273872
14231c2d15636
1511aec52991c
hex95c5010550

643255305552 has 160 divisors (see below), whose sum is σ = 1877796956160. Its totient is φ = 210783323520.

The previous prime is 643255305541. The next prime is 643255305587. The reversal of 643255305552 is 255503552346.

It is a happy number.

643255305552 is a `hidden beast` number, since 6 + 43 + 2 + 5 + 53 + 0 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 643255305498 and 643255305507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14188873 + ... + 14234135.

It is an arithmetic number, because the mean of its divisors is an integer number (11736230976).

Almost surely, 2643255305552 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 643255305552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938898478080).

643255305552 is an abundant number, since it is smaller than the sum of its proper divisors (1234541650608).

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

643255305552 is a wasteful number, since it uses less digits than its factorization.

643255305552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45838 (or 45826 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

Adding to 643255305552 its reverse (255503552346), we get a palindrome (898758857898).

The spelling of 643255305552 in words is "six hundred forty-three billion, two hundred fifty-five million, three hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 491 536 603 804 982 1072 1206 1473 1608 1809 1964 2412 2946 3216 3618 3928 4419 4824 5892 7236 7856 8838 9648 11784 13257 14472 17676 23568 26514 28944 32897 35352 45263 53028 65794 70704 90526 98691 106056 131588 135789 181052 197382 212112 263176 271578 296073 362104 394764 407367 526352 543156 592146 724208 789528 814734 888219 1086312 1184292 1222101 1579056 1629468 1776438 2172624 2368584 2444202 3032621 3258936 3552876 4737168 4888404 6065242 6517872 7105752 9097863 9776808 12130484 14211504 18195726 19553616 22224133 24260968 27293589 36391452 44448266 48521936 54587178 66672399 72782904 81880767 88896532 109174356 133344798 145565808 163761534 177793064 200017197 218348712 266689596 327523068 355586128 400034394 436697424 533379192 600051591 655046136 800068788 1066758384 1200103182 1310092272 1489016911 1600137576 2400206364 2978033822 3200275152 4467050733 4800412728 5956067644 8934101466 9600825456 11912135288 13401152199 17868202932 23824270576 26802304398 35736405864 40203456597 53604608796 71472811728 80406913194 107209217592 160813826388 214418435184 321627652776 643255305552