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9991820789489 = 711593559139139
BaseRepresentation
bin1001000101100110011011…
…1011011100011011110001
31022101012122011121022022202
42101121212323130123301
52302201222110230424
633130102404112545
72050612430244440
oct221314673343361
938335564538282
109991820789489
113202564393110
121154594695755
135762bc7599a6
1426786cb34d57
15124d9bd482ae
hex91666edc6f1

9991820789489 has 32 divisors (see below), whose sum is σ = 12480893061120. Its totient is φ = 7771116038400.

The previous prime is 9991820789453. The next prime is 9991820789549. The reversal of 9991820789489 is 9849870281999.

9991820789489 = T1 + T2 + ... + T39137.

9991820789489 is a nontrivial binomial coefficient, being equal to C(39139, 3).

It is not a de Polignac number, because 9991820789489 - 212 = 9991820785393 is a prime.

It is a super-2 number, since 2×99918207894892 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9991820780489) by changing a digit.

It is the 39137-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255271082 + ... + 255310220.

It is an arithmetic number, because the mean of its divisors is an integer number (390027908160).

Almost surely, 29991820789489 is an apocalyptic number.

It is an amenable number.

9991820789489 is a deficient number, since it is larger than the sum of its proper divisors (2489072271631).

9991820789489 is a wasteful number, since it uses less digits than its factorization.

9991820789489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45341.

The product of its (nonzero) digits is 1693052928, while the sum is 83.

The spelling of 9991820789489 in words is "nine trillion, nine hundred ninety-one billion, eight hundred twenty million, seven hundred eighty-nine thousand, four hundred eighty-nine".

Divisors: 1 7 11 77 593 4151 5591 6523 39137 39139 45661 61501 273973 430507 430529 3013703 3315463 23208241 23209427 36470093 162465989 218826149 255290651 255303697 1531783043 1787125879 2407087639 16849613473 129763906357 908347344499 1427402969927 9991820789489