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6453040680 = 23325196714081
BaseRepresentation
bin1100000001010000…
…11001011000101000
3121122201112102122200
412000220121120220
5101203434300210
62544155020200
7315624640452
oct60050313050
917581472580
106453040680
112811633a79
12130113a660
137babbb788
1445305d2d2
1527b7c70c0
hex180a19628

6453040680 has 192 divisors, whose sum is σ = 22407278400. Its totient is φ = 1605795840.

The previous prime is 6453040663. The next prime is 6453040703. The reversal of 6453040680 is 860403546.

6453040680 is a `hidden beast` number, since 6 + 4 + 530 + 40 + 6 + 80 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451240 + ... + 465320.

It is an arithmetic number, because the mean of its divisors is an integer number (116704575).

Almost surely, 26453040680 is an apocalyptic number.

6453040680 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 6453040680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203639200).

6453040680 is an abundant number, since it is smaller than the sum of its proper divisors (15954237720).

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

6453040680 is a wasteful number, since it uses less digits than its factorization.

6453040680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6453040680 is about 80330.8202373161. The cubic root of 6453040680 is about 1861.7504506383.

The spelling of 6453040680 in words is "six billion, four hundred fifty-three million, forty thousand, six hundred eighty".