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6542303040 = 2633571353157
BaseRepresentation
bin1100001011111001…
…11001111101000000
3121212221111102121000
412011330321331000
5101344312144130
63001104132000
7321060441540
oct60574717500
917787442530
106542303040
112857a61119
121327007000
13803542a40
14460c57320
1528455a260
hex185f39f40

6542303040 has 896 divisors, whose sum is σ = 29126200320. Its totient is φ = 1345683456.

The previous prime is 6542302981. The next prime is 6542303083. The reversal of 6542303040 is 403032456.

6542303040 is a `hidden beast` number, since 654 + 2 + 3 + 0 + 3 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6542302995 and 6542303013.

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 127 ways as a sum of consecutive naturals, for example, 41670642 + ... + 41670798.

It is an arithmetic number, because the mean of its divisors is an integer number (32506920).

Almost surely, 26542303040 is an apocalyptic number.

6542303040 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 6542303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563100160).

6542303040 is an abundant number, since it is smaller than the sum of its proper divisors (22583897280).

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

6542303040 is a wasteful number, since it uses less digits than its factorization.

6542303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 6542303040 is about 80884.5043256123. The cubic root of 6542303040 is about 1870.2954569524.

Adding to 6542303040 its reverse (403032456), we get a palindrome (6945335496).

The spelling of 6542303040 in words is "six billion, five hundred forty-two million, three hundred three thousand, forty".