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9688031496 = 233211213113757
BaseRepresentation
bin10010000010111001…
…11010000100001000
3221000011201222210100
421001130322010020
5124320114001441
64241200045400
7462035623533
oct110134720410
927004658710
109688031496
114121706500
121a64603860
13bb518bb20
1467c955a1a
153ba7d7cb6
hex24173a108

9688031496 has 288 divisors, whose sum is σ = 31375333080. Its totient is φ = 2682408960.

The previous prime is 9688031477. The next prime is 9688031497. The reversal of 9688031496 is 6941308869.

It can be written as a sum of positive squares in 4 ways, for example, as 4174968996 + 5513062500 = 64614^2 + 74250^2 .

It is not an unprimeable number, because it can be changed into a prime (9688031497) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12797550 + ... + 12798306.

Almost surely, 29688031496 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 9688031496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15687666540).

9688031496 is an abundant number, since it is smaller than the sum of its proper divisors (21687301584).

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

9688031496 is a wasteful number, since it uses less digits than its factorization.

9688031496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9688031496 is about 98427.7983904954. The cubic root of 9688031496 is about 2131.7937307116.

It can be divided in two parts, 968803 and 1496, that added together give a cube (970299 = 993).

The spelling of 9688031496 in words is "nine billion, six hundred eighty-eight million, thirty-one thousand, four hundred ninety-six".