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1601416480 = 25510008853
BaseRepresentation
bin101111101110011…
…1010110100100000
311010121100101102111
41133130322310200
511234430311410
6422523525104
754453546466
oct13734726440
94117311374
101601416480
11751a599a4
12388389794
131c6a10721
14112982836
15958cdb8a
hex5f73ad20

1601416480 has 24 divisors (see below), whose sum is σ = 3783346812. Its totient is φ = 640566528.

The previous prime is 1601416459. The next prime is 1601416493. The reversal of 1601416480 is 846141061.

It can be written as a sum of positive squares in 2 ways, for example, as 1471182736 + 130233744 = 38356^2 + 11412^2 .

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 3 ways as a sum of consecutive naturals, for example, 5004267 + ... + 5004586.

Almost surely, 21601416480 is an apocalyptic number.

1601416480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601416480 is an abundant number, since it is smaller than the sum of its proper divisors (2181930332).

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

1601416480 is a wasteful number, since it uses less digits than its factorization.

1601416480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008868 (or 10008860 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1601416480 is about 40017.7020829532. The cubic root of 1601416480 is about 1169.9521445350.

The spelling of 1601416480 in words is "one billion, six hundred one million, four hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10008853 20017706 40035412 50044265 80070824 100088530 160141648 200177060 320283296 400354120 800708240 1601416480