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6316420500 = 223653133143
BaseRepresentation
bin1011110000111110…
…01110110110010100
3121022012110102000000
411320133032312110
5100414000424000
62522434451300
7312345455055
oct57037166624
917265412000
106316420500
112751500235
121283433b30
137987c5930
1443cc5872c
1526e7dc000
hex1787ced94

6316420500 has 672 divisors, whose sum is σ = 23527375872. Its totient is φ = 1469664000.

The previous prime is 6316420493. The next prime is 6316420547. The reversal of 6316420500 is 50246136.

6316420500 is a `hidden beast` number, since 631 + 6 + 4 + 20 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 223 ways as a sum of consecutive naturals, for example, 146893479 + ... + 146893521.

It is an arithmetic number, because the mean of its divisors is an integer number (35010976).

Almost surely, 26316420500 is an apocalyptic number.

6316420500 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 6316420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763687936).

6316420500 is an abundant number, since it is smaller than the sum of its proper divisors (17210955372).

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

6316420500 is a wasteful number, since it uses less digits than its factorization.

6316420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6316420500 is about 79475.9114449152. The cubic root of 6316420500 is about 1848.5179754812.

Adding to 6316420500 its reverse (50246136), we get a palindrome (6366666636).

The spelling of 6316420500 in words is "six billion, three hundred sixteen million, four hundred twenty thousand, five hundred".