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9952869696 = 2637111793761
BaseRepresentation
bin10010100010011110…
…01011110101000000
3221200122002011111120
421101033023311000
5130340413312241
64323340312240
7501432665550
oct112117136500
927618064446
109952869696
114248154350
121b19242680
13c27cc8313
146a5bb5160
153d3b9d666
hex2513cbd40

9952869696 has 224 divisors, whose sum is σ = 33023738880. Its totient is φ = 2570035200.

The previous prime is 9952869683. The next prime is 9952869721. The reversal of 9952869696 is 6969682599.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 9952869696.

It is a congruent number.

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, 2644456 + ... + 2648216.

Almost surely, 29952869696 is an apocalyptic number.

9952869696 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 9952869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511869440).

9952869696 is an abundant number, since it is smaller than the sum of its proper divisors (23070869184).

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

9952869696 is a wasteful number, since it uses less digits than its factorization.

9952869696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3963 counting only the distinct ones).

The product of its digits is 113374080, while the sum is 69.

The square root of 9952869696 is about 99764.0701655661. The cubic root of 9952869696 is about 2151.0447200340.

The spelling of 9952869696 in words is "nine billion, nine hundred fifty-two million, eight hundred sixty-nine thousand, six hundred ninety-six".