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9695981568 = 212371322329
BaseRepresentation
bin10010000011110110…
…01111000000000000
3221000201200220020110
421001323033000000
5124324132402233
64242042311320
7462163324560
oct110173170000
927021626213
109695981568
114126146509
121a671b8540
13bb6a13600
1467da24da0
153bb358663
hex241ecf000

9695981568 has 624 divisors, whose sum is σ = 34535877120. Its totient is φ = 2361655296.

The previous prime is 9695981567. The next prime is 9695981573. The reversal of 9695981568 is 8651895969.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 9695981499 and 9695981508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9695981567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334344178 + ... + 334344206.

Almost surely, 29695981568 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 9695981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267938560).

9695981568 is an abundant number, since it is smaller than the sum of its proper divisors (24839895552).

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

9695981568 is a wasteful number, since it uses less digits than its factorization.

9695981568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 66.

The square root of 9695981568 is about 98468.1754070827. The cubic root of 9695981568 is about 2132.3766933050.

The spelling of 9695981568 in words is "nine billion, six hundred ninety-five million, nine hundred eighty-one thousand, five hundred sixty-eight".