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42873930000 = 24325411231127
BaseRepresentation
bin100111111011011111…
…000100000100010000
311002122221212022022100
4213323133010010100
51200301211230000
631410201040400
73045312251316
oct477337040420
9132587768270
1042873930000
1117201241200
128386486100
1340735c6065
14210a1580b6
1511ade76a00
hex9fb7c4110

42873930000 has 900 divisors, whose sum is σ = 171461914624. Its totient is φ = 9979200000.

The previous prime is 42873929947. The next prime is 42873930097. The reversal of 42873930000 is 3937824.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 337589937 + ... + 337590063.

Almost surely, 242873930000 is an apocalyptic number.

42873930000 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 42873930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85730957312).

42873930000 is an abundant number, since it is smaller than the sum of its proper divisors (128587984624).

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

42873930000 is a wasteful number, since it uses less digits than its factorization.

42873930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 42873930000 in words is "forty-two billion, eight hundred seventy-three million, nine hundred thirty thousand".