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9800630640 = 2434512711909
BaseRepresentation
bin10010010000010100…
…11100000101110000
3221022000121121210000
421020022130011300
5130032430140030
64300301310000
7464603662113
oct111012340560
927260547700
109800630640
11417a222949
121a96265300
13c025c4238
1468d8a657a
153c562a860
hex24829c170

9800630640 has 200 divisors, whose sum is σ = 34309946880. Its totient is φ = 2592705024.

The previous prime is 9800630639. The next prime is 9800630641. The reversal of 9800630640 is 460360089.

9800630640 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 6 + 3 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (9800630639) and next prime (9800630641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9800630595 and 9800630604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9800630641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 817006 + ... + 828914.

Almost surely, 29800630640 is an apocalyptic number.

9800630640 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 9800630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154973440).

9800630640 is an abundant number, since it is smaller than the sum of its proper divisors (24509316240).

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

9800630640 is a wasteful number, since it uses less digits than its factorization.

9800630640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9800630640 is about 98998.1345278789. The cubic root of 9800630640 is about 2140.0208633364.

The spelling of 9800630640 in words is "nine billion, eight hundred million, six hundred thirty thousand, six hundred forty".