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423030067200 = 212325213173167
BaseRepresentation
bin1100010011111101000…
…11101001000000000000
31111102220200201000000200
412021332203221000000
523412331144122300
6522200510245200
742364036146036
oct6117643510000
91442820630020
10423030067200
11153451498794
1269b9bab6800
1330b789c6c40
1416690a7a556
15b00d697200
hex627e8e9000

423030067200 has 1872 divisors, whose sum is σ = 1810095146496. Its totient is φ = 93428121600.

The previous prime is 423030067127. The next prime is 423030067211. The reversal of 423030067200 is 2760030324.

423030067200 is a `hidden beast` number, since 423 + 0 + 30 + 0 + 6 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6313881567 + ... + 6313881633.

It is an arithmetic number, because the mean of its divisors is an integer number (966931168).

Almost surely, 2423030067200 is an apocalyptic number.

423030067200 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 423030067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905047573248).

423030067200 is an abundant number, since it is smaller than the sum of its proper divisors (1387065079296).

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

423030067200 is a wasteful number, since it uses less digits than its factorization.

423030067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 423030067200 its reverse (2760030324), we get a palindrome (425790097524).

The spelling of 423030067200 in words is "four hundred twenty-three billion, thirty million, sixty-seven thousand, two hundred".