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9763600896 = 29337163619
BaseRepresentation
bin10010001011111010…
…01011101000000000
3221012102221022112000
421011331023220000
5124443440212041
64252455504000
7463644144510
oct110575135000
927172838460
109763600896
114160330955
121a85988000
13bc7a2a64a
146889c7840
153c2263bb6
hex245f4ba00

9763600896 has 320 divisors, whose sum is σ = 33285964800. Its totient is φ = 2768007168.

The previous prime is 9763600867. The next prime is 9763600921. The reversal of 9763600896 is 6980063679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15772875 + ... + 15773493.

It is an arithmetic number, because the mean of its divisors is an integer number (104018640).

Almost surely, 29763600896 is an apocalyptic number.

9763600896 is a gapful number since it is divisible by the number (96) 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 9763600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642982400).

9763600896 is an abundant number, since it is smaller than the sum of its proper divisors (23522363904).

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

9763600896 is a wasteful number, since it uses less digits than its factorization.

9763600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9763600896 is about 98810.9351033579. The cubic root of 9763600896 is about 2137.3222465913.

The spelling of 9763600896 in words is "nine billion, seven hundred sixty-three million, six hundred thousand, eight hundred ninety-six".