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9896886720 = 263357297241
BaseRepresentation
bin10010011011110011…
…01000000111000000
3221112201201221022000
421031321220013000
5130232100333340
64314020344000
7500153102100
oct111571500700
927481657260
109896886720
114219597526
121b02545000
13c195268b6
1469c5a1200
153cdce0d30
hex24de681c0

9896886720 has 672 divisors, whose sum is σ = 41203229760. Its totient is φ = 2229534720.

The previous prime is 9896886691. The next prime is 9896886731. The reversal of 9896886720 is 276886989.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41065800 + ... + 41066040.

It is an arithmetic number, because the mean of its divisors is an integer number (61314330).

Almost surely, 29896886720 is an apocalyptic number.

9896886720 is a gapful number since it is divisible by the number (90) 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 9896886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20601614880).

9896886720 is an abundant number, since it is smaller than the sum of its proper divisors (31306343040).

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

9896886720 is a wasteful number, since it uses less digits than its factorization.

9896886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 9896886720 is about 99483.0976598538. The cubic root of 9896886720 is about 2147.0040637498.

The spelling of 9896886720 in words is "nine billion, eight hundred ninety-six million, eight hundred eighty-six thousand, seven hundred twenty".