Search a number
-
+
6429780000 = 25385472
BaseRepresentation
bin1011111110011111…
…01010100000100000
3121121002202200000000
411333033222200200
5101132010430000
62542004300000
7315223141200
oct57717524040
917532680000
106429780000
1127aa496976
1212b53a1600
137b6136167
1444dd26400
15279730000
hex17f3ea820

6429780000 has 810 divisors, whose sum is σ = 27599783211. Its totient is φ = 1469664000.

The previous prime is 6429779971. The next prime is 6429780053. The reversal of 6429780000 is 879246.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6429780000 is a `hidden beast` number, since 642 + 9 + 7 + 8 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1486565136 + 4943214864 = 38556^2 + 70308^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=56700.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 918539997 + ... + 918540003.

Almost surely, 26429780000 is an apocalyptic number.

6429780000 is a gapful number since it is divisible by the number (60) 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 6429780000

6429780000 is an abundant number, since it is smaller than the sum of its proper divisors (21170003211).

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

6429780000 is an frugal number, since it uses more digits than its factorization.

6429780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6429780000 is about 80185.9089865545. The cubic root of 6429780000 is about 1859.5107974637.

The spelling of 6429780000 in words is "six billion, four hundred twenty-nine million, seven hundred eighty thousand".