Search a number
-
+
108990927648 = 253543714591
BaseRepresentation
bin110010110000001011…
…1011001001100100000
3101102022202122210100000
41211200113121030200
53241203134141043
6122023021500000
710605616412361
oct1454027311440
9342282583300
10108990927648
114224a5a0119
1219158a11600
13a37c434485
1453bd193b68
152c7d7232d3
hex19605d9320

108990927648 has 288 divisors, whose sum is σ = 333602260992. Its totient is φ = 34978003200.

The previous prime is 108990927611. The next prime is 108990927671. The reversal of 108990927648 is 846729099801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×1089909276484 (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23737833 + ... + 23742423.

It is an arithmetic number, because the mean of its divisors is an integer number (1158341184).

Almost surely, 2108990927648 is an apocalyptic number.

108990927648 is a gapful number since it is divisible by the number (18) 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 108990927648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166801130496).

108990927648 is an abundant number, since it is smaller than the sum of its proper divisors (224611333344).

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

108990927648 is an equidigital number, since it uses as much as digits as its factorization.

108990927648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 108990927648 in words is "one hundred eight billion, nine hundred ninety million, nine hundred twenty-seven thousand, six hundred forty-eight".