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427276543948800 = 211352713196012677
BaseRepresentation
bin110000100100110110001001…
…0100111110111100000000000
32002000212020102222220202200220
41201021230102213313200000
5422000444330222330200
64112424045015143040
7155666466035006160
oct14111542247674000
92060766388822626
10427276543948800
11114163a67a89897
123bb09082074a80
131545500b591770
14777241b95a5a0
15345e69b9cb4a0
hex1849b129f7800

427276543948800 has 2304 divisors, whose sum is σ = 1833710085043200. Its totient is φ = 85231927296000.

The previous prime is 427276543948783. The next prime is 427276543948811. The reversal of 427276543948800 is 8849345672724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159610213062 + ... + 159610215738.

It is an arithmetic number, because the mean of its divisors is an integer number (795881113300).

Almost surely, 2427276543948800 is an apocalyptic number.

427276543948800 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 427276543948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916855042521600).

427276543948800 is an abundant number, since it is smaller than the sum of its proper divisors (1406433541094400).

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

427276543948800 is a wasteful number, since it uses less digits than its factorization.

427276543948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 69.

The spelling of 427276543948800 in words is "four hundred twenty-seven trillion, two hundred seventy-six billion, five hundred forty-three million, nine hundred forty-eight thousand, eight hundred".