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52320526566 = 2371137312821
BaseRepresentation
bin110000101110100010…
…111110000011100110
312000001022022010122020
4300232202332003212
51324123023322231
640011414244010
73531360065220
oct605642760346
9160038263566
1052320526566
1120209634000
12a182056606
134c1a750b79
1427649c3410
15156346d396
hexc2e8be0e6

52320526566 has 128 divisors (see below), whose sum is σ = 133352082432. Its totient is φ = 13402540800.

The previous prime is 52320526501. The next prime is 52320526627. The reversal of 52320526566 is 66562502325.

52320526566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4074436 + ... + 4087256.

It is an arithmetic number, because the mean of its divisors is an integer number (1041813144).

Almost surely, 252320526566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52320526566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66676041216).

52320526566 is an abundant number, since it is smaller than the sum of its proper divisors (81031555866).

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

52320526566 is a wasteful number, since it uses less digits than its factorization.

52320526566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12939 (or 12917 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 52320526566 in words is "fifty-two billion, three hundred twenty million, five hundred twenty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 73 77 121 146 154 219 231 242 363 438 462 511 726 803 847 1022 1331 1533 1606 1694 2409 2541 2662 3066 3993 4818 5082 5621 7986 8833 9317 11242 12821 16863 17666 18634 25642 26499 27951 33726 38463 52998 55902 61831 76926 89747 97163 123662 141031 179494 185493 194326 269241 282062 291489 370986 423093 538482 582978 680141 846186 935933 987217 1360282 1551341 1871866 1974434 2040423 2807799 2961651 3102682 4080846 4654023 5615598 5923302 6551531 9308046 10295263 10859387 13103062 17064751 19654593 20590526 21718774 30885789 32578161 34129502 39309186 51194253 61771578 65156322 72066841 102388506 113247893 119453257 144133682 216200523 226495786 238906514 339743679 358359771 432401046 679487358 716719542 792735251 1245726823 1585470502 2378205753 2491453646 3737180469 4756411506 7474360938 8720087761 17440175522 26160263283 52320526566