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66883265757 = 33711833311171
BaseRepresentation
bin111110010010100011…
…011010010011011101
320101122012122221021000
4332102203122103131
52043434104001012
650420432300513
74555300243620
oct762243322335
9211565587230
1066883265757
1126401950550
1210b670a1739
1363cb8107c9
143346b03db7
151b16badddc
hexf928da4dd

66883265757 has 128 divisors (see below), whose sum is σ = 125509386240. Its totient is φ = 34193016000.

The previous prime is 66883265749. The next prime is 66883265773. The reversal of 66883265757 is 75756238866.

It is a happy number.

It is not a de Polignac number, because 66883265757 - 23 = 66883265749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 66883265694 and 66883265703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66883263757) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57115782 + ... + 57116952.

It is an arithmetic number, because the mean of its divisors is an integer number (980542080).

Almost surely, 266883265757 is an apocalyptic number.

It is an amenable number.

66883265757 is a deficient number, since it is larger than the sum of its proper divisors (58626120483).

66883265757 is a wasteful number, since it uses less digits than its factorization.

66883265757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1606 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 66883265757 in words is "sixty-six billion, eight hundred eighty-three million, two hundred sixty-five thousand, seven hundred fifty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 83 99 189 231 249 297 331 581 693 747 913 993 1171 1743 2079 2241 2317 2739 2979 3513 3641 5229 6391 6951 8197 8217 8937 10539 10923 12881 15687 19173 20853 24591 24651 25487 27473 31617 32769 38643 57519 62559 73773 76461 82419 90167 97193 98307 115929 172557 192311 221319 229383 247257 270501 291579 302203 347787 387601 576933 680351 688149 741771 811503 874737 906609 1069123 1162803 1730799 2041053 2115421 2434509 2624211 2713207 2719827 3207369 3488409 4263611 5192397 6123159 6346263 7483861 8139621 8159481 9622107 10465227 12790833 18369477 19038789 22451583 24418863 28866321 29845277 32170883 38372499 57116367 67354749 73256589 89535831 96512649 115117497 202064247 225196181 268607493 289537947 353879713 675588543 805822479 868613841 1061639139 2026765629 2477157991 3184917417 6080296887 7431473973 9554752251 22294421919 66883265757