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9996909300 = 22335271015237
BaseRepresentation
bin10010100111101110…
…01011101011110100
3221210200221121111000
421103313023223310
5130433202044200
64331552243300
7502506220110
oct112367135364
927720847430
109996909300
11426aaa3a14
121b2bb40530
13c34177761
146ab99a740
153d799c300
hex253dcbaf4

9996909300 has 288 divisors, whose sum is σ = 37100125440. Its totient is φ = 2261952000.

The previous prime is 9996909257. The next prime is 9996909301. The reversal of 9996909300 is 39096999.

9996909300 is a nontrivial binomial coefficient, being equal to C(141400, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9996909301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1906282 + ... + 1911518.

It is an arithmetic number, because the mean of its divisors is an integer number (128819880).

Almost surely, 29996909300 is an apocalyptic number.

9996909300 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9996909300 is the 141399-th triangular number and also the 70700-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996909300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550062720).

9996909300 is an abundant number, since it is smaller than the sum of its proper divisors (27103216140).

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

9996909300 is a wasteful number, since it uses less digits than its factorization.

9996909300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5355 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 9996909300 is about 99984.5453057621. The cubic root of 9996909300 is about 2154.2127101180.

The spelling of 9996909300 in words is "nine billion, nine hundred ninety-six million, nine hundred nine thousand, three hundred".