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423948940800 = 29352721120483
BaseRepresentation
bin1100010101101010101…
…00110111011000000000
31111112021201201121122020
412022311110313120000
523421221412101200
6522432013041440
742425564352600
oct6126524673000
91445251647566
10423948940800
11153883141060
126a1b7786280
1330c9419b128
141673ab0ac00
15b0641a0ea0
hex62b5537600

423948940800 has 720 divisors, whose sum is σ = 1777330475712. Its totient is φ = 88088985600.

The previous prime is 423948940781. The next prime is 423948940859. The reversal of 423948940800 is 8049849324.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20687359 + ... + 20707841.

Almost surely, 2423948940800 is an apocalyptic number.

423948940800 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 423948940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888665237856).

423948940800 is an abundant number, since it is smaller than the sum of its proper divisors (1353381534912).

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

423948940800 is a wasteful number, since it uses less digits than its factorization.

423948940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20539 (or 20511 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 423948940800 in words is "four hundred twenty-three billion, nine hundred forty-eight million, nine hundred forty thousand, eight hundred".