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663011244 = 223472411213
BaseRepresentation
bin100111100001001…
…011111110101100
31201012120110110000
4213201023332230
52324212324434
6145442344300
722300334250
oct4741137654
91635513400
10663011244
11310286185
1216605b090
13a748b35c
14640aa260
153d317b99
hex2784bfac

663011244 has 120 divisors (see below), whose sum is σ = 1990707488. Its totient is φ = 188490240.

The previous prime is 663011243. The next prime is 663011263. The reversal of 663011244 is 442110366.

663011244 is a `hidden beast` number, since 6 + 630 + 1 + 1 + 24 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (663011243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 545982 + ... + 547194.

Almost surely, 2663011244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663011244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995353744).

663011244 is an abundant number, since it is smaller than the sum of its proper divisors (1327696244).

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

663011244 is a wasteful number, since it uses less digits than its factorization.

663011244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 663011244 is about 25749.0047186294. The cubic root of 663011244 is about 871.9808846776.

The spelling of 663011244 in words is "six hundred sixty-three million, eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 241 252 324 378 482 567 723 756 964 1134 1213 1446 1687 2169 2268 2426 2892 3374 3639 4338 4852 5061 6507 6748 7278 8491 8676 10122 10917 13014 14556 15183 16982 19521 20244 21834 25473 26028 30366 32751 33964 39042 43668 45549 50946 60732 65502 76419 78084 91098 98253 101892 131004 136647 152838 182196 196506 229257 273294 292333 305676 393012 458514 546588 584666 687771 876999 917028 1169332 1375542 1753998 2046331 2630997 2751084 3507996 4092662 5261994 6138993 7892991 8185324 10523988 12277986 15785982 18416979 23678973 24555972 31571964 36833958 47357946 55250937 73667916 94715892 110501874 165752811 221003748 331505622 663011244