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11283325440 = 29353183571
BaseRepresentation
bin10101000001000100…
…11110001000000000
31002010100120022200020
422200202132020000
5141102012403230
65103344453440
7546416453352
oct124042361000
932110508606
1011283325440
114870163452
12222a91a280
1310aa83783a
147907830d2
154608a7810
hex2a089e200

11283325440 has 320 divisors, whose sum is σ = 37749583872. Its totient is φ = 2871705600.

The previous prime is 11283325433. The next prime is 11283325451. The reversal of 11283325440 is 4452338211.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19760355 + ... + 19760925.

Almost surely, 211283325440 is an apocalyptic number.

11283325440 is a gapful number since it is divisible by the number (10) 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 11283325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874791936).

11283325440 is an abundant number, since it is smaller than the sum of its proper divisors (26466258432).

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

11283325440 is an equidigital number, since it uses as much as digits as its factorization.

11283325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 11283325440 in words is "eleven billion, two hundred eighty-three million, three hundred twenty-five thousand, four hundred forty".