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420065000640 = 2632517232331601
BaseRepresentation
bin1100001110011011101…
…00110011110011000000
31111011021001102000100200
412013031310303303000
523340243120010030
6520550350445200
742230413410105
oct6071564636300
91434231360320
10420065000640
1115216a81835a
12694b2b03800
13307c562409c
141648cd68aac
15add8203d60
hex61cdd33cc0

420065000640 has 672 divisors, whose sum is σ = 1604207120256. Its totient is φ = 100348723200.

The previous prime is 420065000573. The next prime is 420065000647. The reversal of 420065000640 is 46000560024.

It is a happy number.

420065000640 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 650 + 0 + 0 + 6 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (420065000647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 262375840 + ... + 262377440.

Almost surely, 2420065000640 is an apocalyptic number.

420065000640 is a gapful number since it is divisible by the number (40) 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 420065000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802103560128).

420065000640 is an abundant number, since it is smaller than the sum of its proper divisors (1184142119616).

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

420065000640 is a wasteful number, since it uses less digits than its factorization.

420065000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 420065000640 its reverse (46000560024), we get a palindrome (466065560664).

The spelling of 420065000640 in words is "four hundred twenty billion, sixty-five million, six hundred forty", and thus it is an aban number.