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1669518144 = 263271923137
BaseRepresentation
bin110001110000010…
…1101001101000000
311022100111022100100
41203200231031000
511404344040034
6433355322400
756241445560
oct14340551500
94270438310
101669518144
11787443768
123a7150400
13207b66178
1411ba2cda0
159b882099
hex6382d340

1669518144 has 504 divisors, whose sum is σ = 6119213568. Its totient is φ = 425502720.

The previous prime is 1669518131. The next prime is 1669518241. The reversal of 1669518144 is 4418159661.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 1669518144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45122094 + ... + 45122130.

Almost surely, 21669518144 is an apocalyptic number.

1669518144 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 1669518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059606784).

1669518144 is an abundant number, since it is smaller than the sum of its proper divisors (4449695424).

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

1669518144 is a wasteful number, since it uses less digits than its factorization.

1669518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1669518144 is about 40859.7374440904. The cubic root of 1669518144 is about 1186.3068762941.

The spelling of 1669518144 in words is "one billion, six hundred sixty-nine million, five hundred eighteen thousand, one hundred forty-four".