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993701041 = 6118190001
BaseRepresentation
bin111011001110101…
…010110010110001
32120020211020120021
4323032222302301
54013341413131
6242334243441
733424214404
oct7316526261
92506736507
10993701041
1146aa11333
12238956581
1312ab430a8
1495d8bd3b
155c389e11
hex3b3aacb1

993701041 has 8 divisors (see below), whose sum is σ = 1015582568. Its totient is φ = 972000000.

The previous prime is 993701029. The next prime is 993701057. The reversal of 993701041 is 140107399.

It can be written as a sum of positive squares in 4 ways, for example, as 19324816 + 974376225 = 4396^2 + 31215^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(993701041) divides (993701041-1)6.

It is a cyclic number.

It is not a de Polignac number, because 993701041 - 221 = 991603889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993700988 and 993701006.

It is not an unprimeable number, because it can be changed into a prime (993701011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33960 + ... + 56041.

It is an arithmetic number, because the mean of its divisors is an integer number (126947821).

Almost surely, 2993701041 is an apocalyptic number.

It is an amenable number.

993701041 is a deficient number, since it is larger than the sum of its proper divisors (21881527).

993701041 is a wasteful number, since it uses less digits than its factorization.

993701041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90243.

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 993701041 is about 31523.0239824799. The cubic root of 993701041 is about 997.8959229648.

The spelling of 993701041 in words is "nine hundred ninety-three million, seven hundred one thousand, forty-one".

Divisors: 1 61 181 11041 90001 5490061 16290181 993701041