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9869423616 = 2103813113
BaseRepresentation
bin10010011000100001…
…10111010000000000
3221110211001200000000
421030100313100000
5130203033023431
64311200000000
7466400500533
oct111420672000
927424050000
109869423616
11420503a048
121ab5300000
13c1392c540
14698a92a1a
153cb6b89e6
hex24c437400

9869423616 has 396 divisors, whose sum is σ = 32150665092. Its totient is φ = 3009871872.

The previous prime is 9869423611. The next prime is 9869423617. The reversal of 9869423616 is 6163249689.

It can be written as a sum of positive squares in 2 ways, for example, as 671846400 + 9197577216 = 25920^2 + 95904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9869423611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87339976 + ... + 87340088.

Almost surely, 29869423616 is an apocalyptic number.

9869423616 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 9869423616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075332546).

9869423616 is an abundant number, since it is smaller than the sum of its proper divisors (22281241476).

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

9869423616 is an equidigital number, since it uses as much as digits as its factorization.

9869423616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 9869423616 is about 99344.9727766836. The cubic root of 9869423616 is about 2145.0162999397.

The spelling of 9869423616 in words is "nine billion, eight hundred sixty-nine million, four hundred twenty-three thousand, six hundred sixteen".