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1899241344 = 27357111361
BaseRepresentation
bin111000100110100…
…0001111110000000
311220100202110100000
41301031001332000
512342201210334
6512243200000
765031166530
oct16115017600
94810673300
101899241344
11895088150
12450076000
13243629460
1414034b4c0
15b1b0d299
hex71341f80

1899241344 has 768 divisors, whose sum is σ = 7734504960. Its totient is φ = 447897600.

The previous prime is 1899241313. The next prime is 1899241363. The reversal of 1899241344 is 4431429981.

1899241344 is a `hidden beast` number, since 189 + 92 + 41 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1899241344.

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 95 ways as a sum of consecutive naturals, for example, 31135074 + ... + 31135134.

It is an arithmetic number, because the mean of its divisors is an integer number (10070970).

Almost surely, 21899241344 is an apocalyptic number.

1899241344 is a gapful number since it is divisible by the number (14) 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 1899241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867252480).

1899241344 is an abundant number, since it is smaller than the sum of its proper divisors (5835263616).

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

1899241344 is a wasteful number, since it uses less digits than its factorization.

1899241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1899241344 is about 43580.2861853843. The cubic root of 1899241344 is about 1238.3974580802.

The spelling of 1899241344 in words is "one billion, eight hundred ninety-nine million, two hundred forty-one thousand, three hundred forty-four".