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423664705152 = 27331331331919
BaseRepresentation
bin1100010101001000110…
…00100101111010000000
31111111112220212221122000
412022210120211322000
523420131131031102
6522343500544000
742415543401333
oct6124430457200
91444486787560
10423664705152
11153747754667
126a138552000
1330c4a32c860
141671107c61a
15b04925801c
hex62a4625e80

423664705152 has 512 divisors, whose sum is σ = 1395738624000. Its totient is φ = 125635276800.

The previous prime is 423664705129. The next prime is 423664705157. The reversal of 423664705152 is 251507466324.

423664705152 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 64 + 70 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 423664705098 and 423664705107.

It is not an unprimeable number, because it can be changed into a prime (423664705157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461005749 + ... + 461006667.

It is an arithmetic number, because the mean of its divisors is an integer number (2726052000).

Almost surely, 2423664705152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423664705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697869312000).

423664705152 is an abundant number, since it is smaller than the sum of its proper divisors (972073918848).

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

423664705152 is a wasteful number, since it uses less digits than its factorization.

423664705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 423664705152 in words is "four hundred twenty-three billion, six hundred sixty-four million, seven hundred five thousand, one hundred fifty-two".