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993890445111 = 321972693835441
BaseRepresentation
bin11100111011010000111…
…11001010011100110111
310112000101221012212202100
432131220133022130313
5112240441423220421
62040330441313143
7131543350251444
oct16355037123467
93460357185670
10993890445111
11353563277983
12140757a957b3
13729535c21c5
1436166c7a9cb
151acc01dcc26
hexe7687ca737

993890445111 has 48 divisors (see below), whose sum is σ = 1452319165440. Its totient is φ = 654944317440.

The previous prime is 993890445103. The next prime is 993890445137. The reversal of 993890445111 is 111544098399.

It is a happy number.

993890445111 is a `hidden beast` number, since 9 + 9 + 3 + 89 + 0 + 44 + 511 + 1 = 666.

It is not a de Polignac number, because 993890445111 - 23 = 993890445103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993890445511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182664151 + ... + 182669591.

It is an arithmetic number, because the mean of its divisors is an integer number (30256649280).

Almost surely, 2993890445111 is an apocalyptic number.

993890445111 is a deficient number, since it is larger than the sum of its proper divisors (458428720329).

993890445111 is a wasteful number, since it uses less digits than its factorization.

993890445111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 993890445111 in words is "nine hundred ninety-three billion, eight hundred ninety million, four hundred forty-five thousand, one hundred eleven".

Divisors: 1 3 9 197 269 383 591 807 1149 1773 2421 3447 5441 16323 48969 52993 75451 103027 158979 226353 309081 476937 679059 927243 1071877 1463629 2083903 3215631 4390887 6251709 9646893 13172661 18755127 20296319 60888957 182666871 288334913 410528891 560569907 865004739 1231586673 1681709721 2595014217 3694760019 5045129163 110432271679 331296815037 993890445111