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1664194248 = 23352573331
BaseRepresentation
bin110001100110001…
…1001011011001000
311021222110211100000
41203030121123020
511402013203443
6433045243000
756145263163
oct14314313310
94258424300
101664194248
11784437852
123a5403460
13206a20b32
1411b044ada
159b17e8d3
hex633196c8

1664194248 has 96 divisors (see below), whose sum is σ = 4693721760. Its totient is φ = 552407040.

The previous prime is 1664194247. The next prime is 1664194289. The reversal of 1664194248 is 8424914661.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1664194241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497943 + ... + 501273.

It is an arithmetic number, because the mean of its divisors is an integer number (48892935).

Almost surely, 21664194248 is an apocalyptic number.

1664194248 is a gapful number since it is divisible by the number (18) 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 1664194248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346860880).

1664194248 is an abundant number, since it is smaller than the sum of its proper divisors (3029527512).

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

1664194248 is a wasteful number, since it uses less digits than its factorization.

1664194248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3593 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1664194248 is about 40794.5369871996. The cubic root of 1664194248 is about 1185.0445360605.

It can be divided in two parts, 16641 and 94248, that added together give a square (110889 = 3332).

The spelling of 1664194248 in words is "one billion, six hundred sixty-four million, one hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 257 324 486 514 648 771 972 1028 1542 1944 2056 2313 3084 3331 4626 6168 6662 6939 9252 9993 13324 13878 18504 19986 20817 26648 27756 29979 39972 41634 55512 59958 62451 79944 83268 89937 119916 124902 166536 179874 239832 249804 269811 359748 499608 539622 719496 809433 856067 1079244 1618866 1712134 2158488 2568201 3237732 3424268 5136402 6475464 6848536 7704603 10272804 15409206 20545608 23113809 30818412 46227618 61636824 69341427 92455236 138682854 184910472 208024281 277365708 416048562 554731416 832097124 1664194248