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9880206336 = 2103472111317
BaseRepresentation
bin10010011001110011…
…11111110000000000
3221111120100111010000
421030321333300000
5130213313100321
64312223040000
7466561240200
oct111471776000
927446314100
109880206336
114210134290
121ab8a40000
13c15c36450
1469a29c400
153cc5e8826
hex24ce7fc00

9880206336 has 1320 divisors, whose sum is σ = 42693312816. Its totient is φ = 2229534720.

The previous prime is 9880206313. The next prime is 9880206341. The reversal of 9880206336 is 6336020889.

9880206336 is a `hidden beast` number, since 9 + 8 + 8 + 0 + 2 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9880206291 and 9880206300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 581188600 + ... + 581188616.

Almost surely, 29880206336 is an apocalyptic number.

9880206336 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 9880206336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346656408).

9880206336 is an abundant number, since it is smaller than the sum of its proper divisors (32813106480).

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

9880206336 is a wasteful number, since it uses less digits than its factorization.

9880206336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 9880206336 is about 99399.2270392481. The cubic root of 9880206336 is about 2145.7971862077.

The spelling of 9880206336 in words is "nine billion, eight hundred eighty million, two hundred six thousand, three hundred thirty-six".