Search a number
-
+
108363690768 = 243232931412663
BaseRepresentation
bin110010011101011111…
…0101011001100010000
3101100201001101212002110
41210322332223030100
53233412101101033
6121440453545320
710554232113414
oct1447276531420
9340631355073
10108363690768
1141a58529833
1219002945240
13a2ac4c04a8
14535db5ad44
152c43625363
hex193afab310

108363690768 has 320 divisors, whose sum is σ = 319659540480. Its totient is φ = 31484006400.

The previous prime is 108363690703. The next prime is 108363690769. The reversal of 108363690768 is 867096363801.

It is not an unprimeable number, because it can be changed into a prime (108363690769) 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 63 ways as a sum of consecutive naturals, for example, 40691005 + ... + 40693667.

It is an arithmetic number, because the mean of its divisors is an integer number (998936064).

Almost surely, 2108363690768 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 108363690768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159829770240).

108363690768 is an abundant number, since it is smaller than the sum of its proper divisors (211295849712).

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

108363690768 is a wasteful number, since it uses less digits than its factorization.

108363690768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 108363690768 in words is "one hundred eight billion, three hundred sixty-three million, six hundred ninety thousand, seven hundred sixty-eight".