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993124322041 = 3736773136779
BaseRepresentation
bin11100111001110101101…
…00101000101011111001
310111221102112121210110211
432130322310220223321
5112232404311301131
62040122432511121
7131515355311465
oct16347264505371
93457375553424
10993124322041
113531aa875315
121405833ab4a1
1372860970b47
14360d320d4a5
151ac77d085b1
hexe73ad28af9

993124322041 has 8 divisors (see below), whose sum is σ = 1022744731520. Its totient is φ = 963650186928.

The previous prime is 993124322017. The next prime is 993124322083. The reversal of 993124322041 is 140223421399.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-993124322041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 993124321985 and 993124322003.

It is not an unprimeable number, because it can be changed into a prime (993124302041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36554811 + ... + 36581968.

It is an arithmetic number, because the mean of its divisors is an integer number (127843091440).

Almost surely, 2993124322041 is an apocalyptic number.

It is an amenable number.

993124322041 is a deficient number, since it is larger than the sum of its proper divisors (29620409479).

993124322041 is a wasteful number, since it uses less digits than its factorization.

993124322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73137183.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 993124322041 in words is "nine hundred ninety-three billion, one hundred twenty-four million, three hundred twenty-two thousand, forty-one".

Divisors: 1 37 367 13579 73136779 2706060823 26841197893 993124322041