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1669346689024 = 216741032
BaseRepresentation
bin11000010010101100110…
…100010000000000000000
312220120212122022021200001
4120102230310100000000
5204322310223022044
63314515353005344
7231414652510000
oct30225464200000
95816778267601
101669346689024
11593a69760333
1222b6449b3854
13c1559bca641
145ab22640000
152d6546962d4
hex184acd10000

1669346689024 has 255 divisors, whose sum is σ = 3933062308023. Its totient is φ = 708488331264.

The previous prime is 1669346688979. The next prime is 1669346689039. The reversal of 1669346689024 is 4209866439661.

The square root of 1669346689024 is 1292032.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16207249357 + ... + 16207249459.

Almost surely, 21669346689024 is an apocalyptic number.

1669346689024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1669346689024 is the 1292032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1669346689024

1669346689024 is an abundant number, since it is smaller than the sum of its proper divisors (2263715618999).

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

1669346689024 is an frugal number, since it uses more digits than its factorization.

1669346689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 64.

Multiplying 1669346689024 by its sum of digits (64), we get a square (106838188097536 = 103362562).

1669346689024 divided by its sum of digits (64) gives a square (26083542016 = 1615042).

The spelling of 1669346689024 in words is "one trillion, six hundred sixty-nine billion, three hundred forty-six million, six hundred eighty-nine thousand, twenty-four".