Search a number
-
+
9763663680 = 263253390161
BaseRepresentation
bin10010001011111010…
…11010111101000000
3221012110001111122100
421011331122331000
5124443444214210
64252501110400
7463644525531
oct110575327500
927173044570
109763663680
114160374041
121a859b8400
13bc7a500b4
14688a02688
153c22775c0
hex245f5af40

9763663680 has 84 divisors (see below), whose sum is σ = 33582944772. Its totient is φ = 2603642880.

The previous prime is 9763663673. The next prime is 9763663727. The reversal of 9763663680 is 863663679.

It is a happy number.

9763663680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6682081536 + 3081582144 = 81744^2 + 55512^2 .

It is a super-2 number, since 2×97636636802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1692201 + ... + 1697960.

Almost surely, 29763663680 is an apocalyptic number.

9763663680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9763663680 is an abundant number, since it is smaller than the sum of its proper divisors (23819281092).

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

9763663680 is a wasteful number, since it uses less digits than its factorization.

9763663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390184 (or 3390171 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 9763663680 is about 98811.2528004781. The cubic root of 9763663680 is about 2137.3268278707.

The spelling of 9763663680 in words is "nine billion, seven hundred sixty-three million, six hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3390161 6780322 10170483 13560644 16950805 20340966 27121288 30511449 33901610 40681932 50852415 54242576 61022898 67803220 81363864 101704830 108485152 122045796 135606440 152557245 162727728 203409660 216970304 244091592 271212880 305114490 325455456 406819320 488183184 542425760 610228980 650910912 813638640 976366368 1084851520 1220457960 1627277280 1952732736 2440915920 3254554560 4881831840 9763663680