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6474000456 = 23327112532003
BaseRepresentation
bin1100000011110000…
…10110100001001000
3121201011222022001200
412001320112201020
5101224321003311
62550224144200
7316301044620
oct60170264110
917634868050
106474000456
11282244a400
121308168060
137c2349a01
14455b57880
1527d567556
hex181e16848

6474000456 has 288 divisors, whose sum is σ = 22452655680. Its totient is φ = 1649007360.

The previous prime is 6474000443. The next prime is 6474000457. The reversal of 6474000456 is 6540004746.

6474000456 is a `hidden beast` number, since 647 + 4 + 0 + 0 + 0 + 4 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6474000456.

It is not an unprimeable number, because it can be changed into a prime (6474000457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3231151 + ... + 3233153.

It is an arithmetic number, because the mean of its divisors is an integer number (77960610).

Almost surely, 26474000456 is an apocalyptic number.

6474000456 is a gapful number since it is divisible by the number (66) 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 6474000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11226327840).

6474000456 is an abundant number, since it is smaller than the sum of its proper divisors (15978655224).

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

6474000456 is a wasteful number, since it uses less digits than its factorization.

6474000456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6474000456 is about 80461.1735932307. The cubic root of 6474000456 is about 1863.7639562156.

The spelling of 6474000456 in words is "six billion, four hundred seventy-four million, four hundred fifty-six", and thus it is an aban number.