Search a number
-
+
283494938940 = 2232519240910667
BaseRepresentation
bin1000010000000011001…
…11010111100100111100
31000002202020202001102100
410020001213113210330
514121044201021230
6334122532225100
726324161135653
oct4100147274474
91002666661370
10283494938940
11aa258558674
1246b39a6b190
132096c53aaa5
14da1509c19a
1575936a0660
hex42019d793c

283494938940 has 216 divisors, whose sum is σ = 909880760880. Its totient is φ = 71437966848.

The previous prime is 283494938887. The next prime is 283494938963. The reversal of 283494938940 is 49839494382.

283494938940 is a `hidden beast` number, since 28 + 3 + 4 + 9 + 493 + 89 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26571487 + ... + 26582153.

It is an arithmetic number, because the mean of its divisors is an integer number (4212410930).

Almost surely, 2283494938940 is an apocalyptic number.

283494938940 is a gapful number since it is divisible by the number (20) 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 283494938940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454940380440).

283494938940 is an abundant number, since it is smaller than the sum of its proper divisors (626385821940).

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

283494938940 is a wasteful number, since it uses less digits than its factorization.

283494938940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 283494938940 in words is "two hundred eighty-three billion, four hundred ninety-four million, nine hundred thirty-eight thousand, nine hundred forty".