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1671013376 = 21010931493
BaseRepresentation
bin110001110011001…
…1010010000000000
311022110022021102022
41203212122100000
511410234412001
6433451341012
756260244054
oct14346322000
94273267368
101671013376
1178827509a
123a7751768
1320826a916
1411bcdbc64
159ba7a11b
hex6399a400

1671013376 has 44 divisors (see below), whose sum is σ = 3345690492. Its totient is φ = 834183168.

The previous prime is 1671013363. The next prime is 1671013441. The reversal of 1671013376 is 6733101761.

It can be written as a sum of positive squares in 2 ways, for example, as 1574502400 + 96510976 = 39680^2 + 9824^2 .

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 3 ways as a sum of consecutive naturals, for example, 1118486 + ... + 1119978.

Almost surely, 21671013376 is an apocalyptic number.

1671013376 is a gapful number since it is divisible by the number (16) 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 1671013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672845246).

1671013376 is an abundant number, since it is smaller than the sum of its proper divisors (1674677116).

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

1671013376 is a wasteful number, since it uses less digits than its factorization.

1671013376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 1671013376 is about 40878.0304809319. The cubic root of 1671013376 is about 1186.6609255007.

The spelling of 1671013376 in words is "one billion, six hundred seventy-one million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1093 1493 2186 2986 4372 5972 8744 11944 17488 23888 34976 47776 69952 95552 139904 191104 279808 382208 559616 764416 1119232 1528832 1631849 3263698 6527396 13054792 26109584 52219168 104438336 208876672 417753344 835506688 1671013376