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423668044800 = 2103252711213167
BaseRepresentation
bin1100010101001001001…
…01010101010000000000
31111111120011011121202200
412022210211111100000
523420133004413200
6522344100313200
742415613651040
oct6124445252000
91444504147680
10423668044800
11153749625800
126a1396a2800
1330c4ac2b990
14167116ab720
15b0496b7800
hex62a4955400

423668044800 has 2376 divisors, whose sum is σ = 2064437950848. Its totient is φ = 80776396800.

The previous prime is 423668044799. The next prime is 423668044823. The reversal of 423668044800 is 8440866324.

It is a super-2 number, since 2×4236680448002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2536934317 + ... + 2536934483.

Almost surely, 2423668044800 is an apocalyptic number.

423668044800 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 423668044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032218975424).

423668044800 is an abundant number, since it is smaller than the sum of its proper divisors (1640769906048).

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

423668044800 is a wasteful number, since it uses less digits than its factorization.

423668044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 423668044800 in words is "four hundred twenty-three billion, six hundred sixty-eight million, forty-four thousand, eight hundred".