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663633000330 = 235231139978537
BaseRepresentation
bin10011010100000111001…
…10111111011110001010
32100102221201120101210020
421222003212333132022
541333110022002310
61224511354201310
765642305300266
oct11520346773612
92312851511706
10663633000330
11236499589573
12a8749423236
134a770c80321
14241974370a6
15123e1500170
hex9a839bf78a

663633000330 has 128 divisors (see below), whose sum is σ = 1678553860608. Its totient is φ = 167588585472.

The previous prime is 663633000263. The next prime is 663633000341. The reversal of 663633000330 is 33000336366.

It is a junction number, because it is equal to n+sod(n) for n = 663633000291 and 663633000300.

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, 77731822 + ... + 77740358.

It is an arithmetic number, because the mean of its divisors is an integer number (13113702036).

Almost surely, 2663633000330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663633000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839276930304).

663633000330 is an abundant number, since it is smaller than the sum of its proper divisors (1014920860278).

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

663633000330 is a wasteful number, since it uses less digits than its factorization.

663633000330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9680.

The product of its (nonzero) digits is 52488, while the sum is 33.

Adding to 663633000330 its reverse (33000336366), we get a palindrome (696633336696).

The spelling of 663633000330 in words is "six hundred sixty-three billion, six hundred thirty-three million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 23 30 46 69 113 115 138 226 230 339 345 565 678 690 997 1130 1695 1994 2599 2991 3390 4985 5198 5982 7797 8537 9970 12995 14955 15594 17074 22931 25611 25990 29910 38985 42685 45862 51222 68793 77970 85370 112661 114655 128055 137586 196351 225322 229310 256110 337983 343965 392702 563305 589053 675966 687930 964681 981755 1126610 1178106 1689915 1929362 1963510 2591203 2894043 2945265 3379830 4823405 5182406 5788086 5890530 7773609 8511389 9646810 12956015 14470215 15547218 17022778 22187663 25534167 25912030 28940430 38868045 42556945 44375326 51068334 66562989 77736090 85113890 110938315 127670835 133125978 195761947 221876630 255341670 332814945 391523894 587285841 665629890 961786957 978809735 1174571682 1923573914 1957619470 2885360871 2936429205 4808934785 5770721742 5872858410 9617869570 14426804355 22121100011 28853608710 44242200022 66363300033 110605500055 132726600066 221211000110 331816500165 663633000330