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6066660673664 = 274110159319301
BaseRepresentation
bin101100001001000000100…
…1001111000100010000000
3210110222010000100122012122
41120102001021320202000
51243344010113024124
620522552504343412
71164205335614423
oct130220111704200
923428100318178
106066660673664
111a2994687a198
1281b914474b68
13350111a060b6
1416d8b110d9ba
15a7c1b32875e
hex58481278880

6066660673664 has 128 divisors (see below), whose sum is σ = 12525019158960. Its totient is φ = 2924953600000.

The previous prime is 6066660673663. The next prime is 6066660673669. The reversal of 6066660673664 is 4663760666606.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3643059342400 + 2423601331264 = 1908680^2 + 1556792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6066660673597 and 6066660673606.

It is not an unprimeable number, because it can be changed into a prime (6066660673663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 314308814 + ... + 314328114.

Almost surely, 26066660673664 is an apocalyptic number.

6066660673664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066660673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262509579480).

6066660673664 is an abundant number, since it is smaller than the sum of its proper divisors (6458358485296).

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

6066660673664 is a wasteful number, since it uses less digits than its factorization.

6066660673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20050 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 62.

The spelling of 6066660673664 in words is "six trillion, sixty-six billion, six hundred sixty million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 101 128 164 202 328 404 593 656 808 1186 1312 1616 2372 2624 3232 4141 4744 5248 6464 8282 9488 12928 16564 18976 19301 24313 33128 37952 38602 48626 59893 66256 75904 77204 97252 119786 132512 154408 194504 239572 265024 308816 389008 479144 530048 617632 778016 791341 958288 1235264 1556032 1582682 1916576 1949401 2455613 2470528 3112064 3165364 3833152 3898802 4911226 6330728 7666304 7797604 9822452 11445493 12661456 15595208 19644904 22890986 25322912 31190416 39289808 45781972 50645824 62380832 78579616 79925441 91563944 101291648 124761664 157159232 159850882 183127888 249523328 314318464 319701764 366255776 469265213 639403528 732511552 938530426 1155994793 1278807056 1465023104 1877060852 2311989586 2557614112 3754121704 4623979172 5115228224 7508243408 9247958344 10230456448 15016486816 18495916688 30032973632 36991833376 47395786513 60065947264 73983666752 94791573026 147967333504 189583146052 379166292104 758332584208 1516665168416 3033330336832 6066660673664