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1663324540 = 225175578783
BaseRepresentation
bin110001100100100…
…0101000101111100
311021220211122022121
41203021011011330
511401302341130
6433014452324
756135011453
oct14311050574
94256748277
101663324540
117839a3389
123a50640a4
132067a8007
1411ac99b9a
159b05bd7a
hex6324517c

1663324540 has 48 divisors (see below), whose sum is σ = 3705512832. Its totient is φ = 624997376.

The previous prime is 1663324483. The next prime is 1663324547. The reversal of 1663324540 is 454233661.

It is a super-3 number, since 3×16633245403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1663324496 and 1663324505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663324547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184989 + ... + 193771.

It is an arithmetic number, because the mean of its divisors is an integer number (77198184).

Almost surely, 21663324540 is an apocalyptic number.

1663324540 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 1663324540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852756416).

1663324540 is an abundant number, since it is smaller than the sum of its proper divisors (2042188292).

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

1663324540 is a wasteful number, since it uses less digits than its factorization.

1663324540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 1663324540 is about 40783.8759805882. The cubic root of 1663324540 is about 1184.8380653105.

The spelling of 1663324540 in words is "one billion, six hundred sixty-three million, three hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 557 1114 2228 2785 5570 8783 9469 11140 17566 18938 35132 37876 43915 47345 87830 94690 149311 175660 189380 298622 597244 746555 1493110 2986220 4892131 9784262 19568524 24460655 48921310 83166227 97842620 166332454 332664908 415831135 831662270 1663324540