Search a number
-
+
5746000006000 = 24532873000003
BaseRepresentation
bin101001110011101100001…
…0010100000101101110000
3202100022102121201221120001
41103213120102200231300
51223120302000143000
620115402001355344
71132064144121262
oct123473022405560
922308377657501
105746000006000
111915957229541
12789743938b54
13328acb682167
1415c172069b32
159e6eedea46a
hex539d84a0b70

5746000006000 has 40 divisors (see below), whose sum is σ = 13893828019344. Its totient is φ = 2298400001600.

The previous prime is 5746000005959. The next prime is 5746000006013. The reversal of 5746000006000 is 6000006475.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 5746000006000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1436498002 + ... + 1436502001.

Almost surely, 25746000006000 is an apocalyptic number.

5746000006000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5746000006000 is an abundant number, since it is smaller than the sum of its proper divisors (8147828013344).

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

5746000006000 is a wasteful number, since it uses less digits than its factorization.

5746000006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873000026 (or 2873000010 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 5746000006000 in words is "five trillion, seven hundred forty-six billion, six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2873000003 5746000006 11492000012 14365000015 22984000024 28730000030 45968000048 57460000060 71825000075 114920000120 143650000150 229840000240 287300000300 359125000375 574600000600 718250000750 1149200001200 1436500001500 2873000003000 5746000006000