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1669776768 = 2734115
BaseRepresentation
bin110001110000110…
…1100010110000000
311022100222110010000
41203201230112000
511404430324033
6433405040000
756243603562
oct14341542600
94270873100
101669776768
11787600000
123a7256000
13207c26aba
1411ba99332
159b8d3a13
hex6386c580

1669776768 has 240 divisors, whose sum is σ = 5466148380. Its totient is φ = 505992960.

The previous prime is 1669776763. The next prime is 1669776769. The reversal of 1669776768 is 8676779661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (32006016) is a multiple of the sum of its prime divisors (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1669776763) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 151797883 + ... + 151797893.

Almost surely, 21669776768 is an apocalyptic number.

1669776768 is a gapful number since it is divisible by the number (18) 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 1669776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733074190).

1669776768 is an abundant number, since it is smaller than the sum of its proper divisors (3796371612).

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

1669776768 is an frugal number, since it uses more digits than its factorization.

1669776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 16 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 1669776768 is about 40862.9020995817. The cubic root of 1669776768 is about 1186.3681298140.

The spelling of 1669776768 in words is "one billion, six hundred sixty-nine million, seven hundred seventy-six thousand, seven hundred sixty-eight".