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993973390441 = 23131932764393
BaseRepresentation
bin11100111011011010110…
…11100100110001101001
310112000121201021221100121
432131231123210301221
5112241124141443231
62040343003203241
7131545405262533
oct16355533446151
93460551257317
10993973390441
113535a607aa39
1214077b816521
1372967844095
1436173cac853
151acc7624311
hexe76d6e4c69

993973390441 has 8 divisors (see below), whose sum is σ = 1037976001920. Its totient is φ = 950036310432.

The previous prime is 993973390409. The next prime is 993973390447. The reversal of 993973390441 is 144093379399.

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

It is a cyclic number.

It is not a de Polignac number, because 993973390441 - 25 = 993973390409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 993973390441.

It is not an unprimeable number, because it can be changed into a prime (993973390447) 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, 16351860 + ... + 16412533.

It is an arithmetic number, because the mean of its divisors is an integer number (129747000240).

Almost surely, 2993973390441 is an apocalyptic number.

It is an amenable number.

993973390441 is a deficient number, since it is larger than the sum of its proper divisors (44002611479).

993973390441 is a wasteful number, since it uses less digits than its factorization.

993973390441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32765735.

The product of its (nonzero) digits is 19840464, while the sum is 61.

The spelling of 993973390441 in words is "nine hundred ninety-three billion, nine hundred seventy-three million, three hundred ninety thousand, four hundred forty-one".

Divisors: 1 23 1319 30337 32764393 753581039 43216234367 993973390441