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1664644080 = 24351117291279
BaseRepresentation
bin110001100111000…
…0111001111110000
311022000022200101110
41203032013033300
511402122102310
6433103033320
756152145511
oct14316071760
94260280343
101664644080
11784714810
123a559b840
13206b4a7c8
1411b120a08
159b21cd20
hex633873f0

1664644080 has 320 divisors, whose sum is σ = 6171033600. Its totient is φ = 366428160.

The previous prime is 1664644049. The next prime is 1664644103. The reversal of 1664644080 is 804464661.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300881 + ... + 1302159.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 21664644080 is an apocalyptic number.

1664644080 is a gapful number since it is divisible by the number (10) 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 1664644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085516800).

1664644080 is an abundant number, since it is smaller than the sum of its proper divisors (4506389520).

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

1664644080 is a wasteful number, since it uses less digits than its factorization.

1664644080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 1664644080 is about 40800.0499999694. The cubic root of 1664644080 is about 1185.1512990244.

It can be divided in two parts, 16646 and 44080, that added together give a triangular number (60726 = T348).

The spelling of 1664644080 in words is "one billion, six hundred sixty-four million, six hundred forty-four thousand, eighty".