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1669054464 = 214337311
BaseRepresentation
bin110001101111011…
…1100000000000000
311022022121202022000
41203132330000000
511404234220324
6433341344000
756234505000
oct14336740000
94268552260
101669054464
11787157360
123a6b68000
13207a330bc
1411b94c000
159b7de9c9
hex637bc000

1669054464 has 480 divisors, whose sum is σ = 6291264000. Its totient is φ = 433520640.

The previous prime is 1669054451. The next prime is 1669054493. The reversal of 1669054464 is 4644509661.

It is a happy number.

1669054464 is a `hidden beast` number, since 16 + 6 + 90 + 544 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151732219 + ... + 151732229.

It is an arithmetic number, because the mean of its divisors is an integer number (13106800).

Almost surely, 21669054464 is an apocalyptic number.

1669054464 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 1669054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145632000).

1669054464 is an abundant number, since it is smaller than the sum of its proper divisors (4622209536).

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

1669054464 is an frugal number, since it uses more digits than its factorization.

1669054464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1669054464 is about 40854.0630047979. The cubic root of 1669054464 is about 1186.1970406696.

The spelling of 1669054464 in words is "one billion, six hundred sixty-nine million, fifty-four thousand, four hundred sixty-four".