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16683323757768 = 23328310726090849
BaseRepresentation
bin1111001011000110001110…
…0101100001010011001000
32012001220120111222022201100
43302301203211201103020
54141314421340222033
655252114011421400
73341221213100133
oct362614345412310
965056514868640
1016683323757768
1153523a3367498
121a5540b454860
139402cca5a5a5
1441969753d21a
151dde88e0e513
hexf2c639614c8

16683323757768 has 96 divisors (see below), whose sum is σ = 46155757284000. Its totient is φ = 5442759619584.

The previous prime is 16683323757713. The next prime is 16683323757827. The reversal of 16683323757768 is 86775732338661.

It is a happy number.

16683323757768 is a `hidden beast` number, since 16 + 6 + 8 + 3 + 3 + 2 + 37 + 577 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16683323757696 and 16683323757705.

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, 12405993 + ... + 13684856.

It is an arithmetic number, because the mean of its divisors is an integer number (480789138375).

Almost surely, 216683323757768 is an apocalyptic number.

16683323757768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16683323757768 is an abundant number, since it is smaller than the sum of its proper divisors (29472433526232).

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

16683323757768 is a wasteful number, since it uses less digits than its factorization.

16683323757768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26091051 (or 26091044 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 16683323757768 in words is "sixteen trillion, six hundred eighty-three billion, three hundred twenty-three million, seven hundred fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 107 166 214 249 321 332 428 498 642 664 747 856 963 996 1284 1494 1926 1992 2568 2988 3852 5976 7704 8881 17762 26643 35524 53286 71048 79929 106572 159858 213144 319716 639432 26090849 52181698 78272547 104363396 156545094 208726792 234817641 313090188 469635282 626180376 939270564 1878541128 2165540467 2791720843 4331080934 5583441686 6496621401 8375162529 8662161868 11166883372 12993242802 16750325058 17324323736 19489864203 22333766744 25125487587 25986485604 33500650116 38979728406 50250975174 51972971208 67001300232 77959456812 100501950348 155918913624 201003900696 231712829969 463425659938 695138489907 926851319876 1390276979814 1853702639752 2085415469721 2780553959628 4170830939442 5561107919256 8341661878884 16683323757768