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9944499180100 = 22523153492
BaseRepresentation
bin1001000010110110001001…
…0101110101001001000100
31022012200111020122110220011
42100231202111311021010
52300412313242230400
633052235001520004
72044315650223612
oct220554225651104
938180436573804
109944499180100
113194490597621
1211473887a3004
135719ba8788a4
142654600106b2
15123a2c6ba8ba
hex90b62575244

9944499180100 has 27 divisors (see below), whose sum is σ = 21579631651767. Its totient is φ = 3977787058080.

The previous prime is 9944499180089. The next prime is 9944499180101. The reversal of 9944499180100 is 10819944499.

The square root of 9944499180100 is 3153490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5305679200836 + 4638819979264 = 2303406^2 + 2153792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9944499180101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31377226 + ... + 31692574.

Almost surely, 29944499180100 is an apocalyptic number.

9944499180100 is the 3153490-th square number.

It is an amenable number.

9944499180100 is an abundant number, since it is smaller than the sum of its proper divisors (11635132471667).

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

9944499180100 is an frugal number, since it uses more digits than its factorization.

9944499180100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630712 (or 315356 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 58.

The spelling of 9944499180100 in words is "nine trillion, nine hundred forty-four billion, four hundred ninety-nine million, one hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 315349 630698 1261396 1576745 3153490 6306980 7883725 15767450 31534900 99444991801 198889983602 397779967204 497224959005 994449918010 1988899836020 2486124795025 4972249590050 9944499180100