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9800140644 = 22337192149241
BaseRepresentation
bin10010010000010001…
…00100011101100100
3221021222200201122000
421020020210131210
5130032314000034
64300243005300
7464566551420
oct111010443544
927258621560
109800140644
114179a18798
121a96069830
13c024821b8
1468d7b9b80
153c5580599
hex248224764

9800140644 has 288 divisors, whose sum is σ = 30979872000. Its totient is φ = 2623933440.

The previous prime is 9800140619. The next prime is 9800140699. The reversal of 9800140644 is 4460410089.

It is a happy number.

9800140644 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 1 + 4 + 0 + 644 = 666.

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 = 9800140599 and 9800140608.

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, 40664364 + ... + 40664604.

It is an arithmetic number, because the mean of its divisors is an integer number (107569000).

Almost surely, 29800140644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9800140644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489936000).

9800140644 is an abundant number, since it is smaller than the sum of its proper divisors (21179731356).

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

9800140644 is a wasteful number, since it uses less digits than its factorization.

9800140644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9800140644 is about 98995.6597230404. The cubic root of 9800140644 is about 2139.9851983138.

The spelling of 9800140644 in words is "nine billion, eight hundred million, one hundred forty thousand, six hundred forty-four".