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68405003325 = 32521749935839
BaseRepresentation
bin111111101101010000…
…011000010000111101
320112120021002012202200
4333231100120100331
52110043140101300
651231432342113
74641065635401
oct775520302075
9215507065680
1068405003325
11270129284aa
1211310844939
1365b1b74039
14344cc65101
151ba559e200
hexfed41843d

68405003325 has 72 divisors (see below), whose sum is σ = 129991680000. Its totient is φ = 34266862080.

The previous prime is 68405003323. The next prime is 68405003339. The reversal of 68405003325 is 52330050486.

It is a happy number.

68405003325 is a `hidden beast` number, since 68 + 40 + 500 + 33 + 25 = 666.

It is not a de Polignac number, because 68405003325 - 21 = 68405003323 is a prime.

It is a super-2 number, since 2×684050033252 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68405003325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68405003323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1890756 + ... + 1926594.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440000).

Almost surely, 268405003325 is an apocalyptic number.

It is an amenable number.

68405003325 is a deficient number, since it is larger than the sum of its proper divisors (61586676675).

68405003325 is a wasteful number, since it uses less digits than its factorization.

68405003325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36371 (or 36363 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 68405003325 in words is "sixty-eight billion, four hundred five million, three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 499 765 1275 1497 2495 3825 4491 7485 8483 12475 22455 25449 35839 37425 42415 76347 107517 112275 127245 179195 212075 322551 381735 537585 609263 636225 895975 1612755 1827789 1908675 2687925 3046315 5483367 8063775 9138945 15231575 17883661 27416835 45694725 53650983 89418305 137084175 160952949 268254915 304022237 447091525 804764745 912066711 1341274575 1520111185 2736200133 4023823725 4560333555 7600555925 13681000665 22801667775 68405003325