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68386828455 = 32511178126777
BaseRepresentation
bin111111101100001011…
…000011000010100111
320112111222212211112100
4333230023003002213
52110024012002310
651225543023143
74640455310421
oct775413030247
9215458784470
1068386828455
1127003644450
121130673aab3
1365ab17c58a
14344a693811
151ba3badec0
hexfec2c30a7

68386828455 has 48 divisors (see below), whose sum is σ = 136919955744. Its totient is φ = 31206819840.

The previous prime is 68386828453. The next prime is 68386828463. The reversal of 68386828455 is 55482868386.

68386828455 is a `hidden beast` number, since 6 + 83 + 86 + 8 + 28 + 455 = 666.

It is not a de Polignac number, because 68386828455 - 21 = 68386828453 is a prime.

It is a super-2 number, since 2×683868284552 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68386828392 and 68386828401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68386828453) 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 47 ways as a sum of consecutive naturals, for example, 4054974 + ... + 4071803.

It is an arithmetic number, because the mean of its divisors is an integer number (2852499078).

Almost surely, 268386828455 is an apocalyptic number.

68386828455 is an abundant number, since it is smaller than the sum of its proper divisors (68533127289).

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

68386828455 is a wasteful number, since it uses less digits than its factorization.

68386828455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126816 (or 8126813 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 68386828455 in words is "sixty-eight billion, three hundred eighty-six million, eight hundred twenty-eight thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 8126777 24380331 40633885 73140993 89394547 121901655 138155209 268183641 365704965 414465627 446972735 690776045 804550923 1243396881 1340918205 1519707299 2072328135 4022754615 4559121897 6216984405 7598536495 13677365691 22795609485 68386828455