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10329209856 = 21033719532
BaseRepresentation
bin10011001111010101…
…10011110000000000
3222122212020020011000
421213222303300000
5132123234203411
64424542452000
7513652556310
oct114752636000
928585206130
1010329209856
11442062a279
122003294000
13c87c746c4
146ddb7b440
15406c3b956
hex267ab3c00

10329209856 has 528 divisors, whose sum is σ = 37507590400. Its totient is φ = 2743123968.

The previous prime is 10329209851. The next prime is 10329209953. The reversal of 10329209856 is 65890292301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10329209851) 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, 194890726 + ... + 194890778.

Almost surely, 210329209856 is an apocalyptic number.

10329209856 is a gapful number since it is divisible by the number (16) 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 10329209856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753795200).

10329209856 is an abundant number, since it is smaller than the sum of its proper divisors (27178380544).

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

10329209856 is an equidigital number, since it uses as much as digits as its factorization.

10329209856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10329209856 in words is "ten billion, three hundred twenty-nine million, two hundred nine thousand, eight hundred fifty-six".