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1666042560 = 263357132163
BaseRepresentation
bin110001101001101…
…1100101011000000
311022002221201202000
41203103130223000
511403001330220
6433153024000
756200061640
oct14323345300
94262851660
101666042560
1178548a486
123a5b55000
1320721a200
1411b3a6520
159b3e7390
hex634dcac0

1666042560 has 672 divisors, whose sum is σ = 7318126080. Its totient is φ = 349360128.

The previous prime is 1666042529. The next prime is 1666042577. The reversal of 1666042560 is 652406661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10221039 + ... + 10221201.

Almost surely, 21666042560 is an apocalyptic number.

1666042560 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 1666042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659063040).

1666042560 is an abundant number, since it is smaller than the sum of its proper divisors (5652083520).

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

1666042560 is a wasteful number, since it uses less digits than its factorization.

1666042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1666042560 is about 40817.1846162863. The cubic root of 1666042560 is about 1185.4830909653.

The spelling of 1666042560 in words is "one billion, six hundred sixty-six million, forty-two thousand, five hundred sixty".