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6420826000 = 24533210413
BaseRepresentation
bin1011111101011011…
…00000011110010000
3121120110220202102101
411332231200132100
5101122212413000
62541044330144
7315054056221
oct57655403620
917513822371
106420826000
1127a5430676
1212b23a3954
137b431c734
1444ca75248
15278a61e6a
hex17eb60790

6420826000 has 40 divisors (see below), whose sum is σ = 15525562104. Its totient is φ = 2568329600.

The previous prime is 6420825959. The next prime is 6420826001. The reversal of 6420826000 is 6280246.

It can be written as a sum of positive squares in 4 ways, for example, as 12503296 + 6408322704 = 3536^2 + 80052^2 .

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 6420826000.

It is not an unprimeable number, because it can be changed into a prime (6420826001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1603207 + ... + 1607206.

Almost surely, 26420826000 is an apocalyptic number.

It is an amenable number.

6420826000 is an abundant number, since it is smaller than the sum of its proper divisors (9104736104).

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

6420826000 is a wasteful number, since it uses less digits than its factorization.

6420826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210436 (or 3210420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6420826000 is about 80130.0567827079. The cubic root of 6420826000 is about 1858.6472223219.

The spelling of 6420826000 in words is "six billion, four hundred twenty million, eight hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3210413 6420826 12841652 16052065 25683304 32104130 51366608 64208260 80260325 128416520 160520650 256833040 321041300 401301625 642082600 802603250 1284165200 1605206500 3210413000 6420826000