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68481816 = 233131032131
BaseRepresentation
bin1000001010011…
…11001100011000
311202212020101120
410011033030120
5120012404231
610443445240
71461041304
oct405171430
9152766346
1068481816
1135724447
121ab26820
13112597b0
149148d04
15602ad96
hex414f318

68481816 has 64 divisors (see below), whose sum is σ = 186251520. Its totient is φ = 20856960.

The previous prime is 68481793. The next prime is 68481817. The reversal of 68481816 is 61818486.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68481817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31071 + ... + 33201.

It is an arithmetic number, because the mean of its divisors is an integer number (2910180).

Almost surely, 268481816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68481816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93125760).

68481816 is an abundant number, since it is smaller than the sum of its proper divisors (117769704).

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

68481816 is a wasteful number, since it uses less digits than its factorization.

68481816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2252 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 68481816 is about 8275.3740700950. The cubic root of 68481816 is about 409.1272651505.

The spelling of 68481816 in words is "sixty-eight million, four hundred eighty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 309 312 412 618 824 1236 1339 2131 2472 2678 4017 4262 5356 6393 8034 8524 10712 12786 16068 17048 25572 27703 32136 51144 55406 83109 110812 166218 219493 221624 332436 438986 658479 664872 877972 1316958 1755944 2633916 2853409 5267832 5706818 8560227 11413636 17120454 22827272 34240908 68481816