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1993553991 = 331113975323
BaseRepresentation
bin111011011010011…
…0011100001000111
312010221020000222000
41312310303201013
513040322211431
6525452440343
7100254633522
oct16664634107
95127200860
101993553991
11933344690
124777790b3
1325a02b360
1414ca9bbb9
15ba03c9e6
hex76d33847

1993553991 has 64 divisors (see below), whose sum is σ = 3506173440. Its totient is φ = 1103569920.

The previous prime is 1993553963. The next prime is 1993554037.

1993553991 is a `hidden beast` number, since 19 + 9 + 3 + 5 + 539 + 91 = 666.

1993553991 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1993553991 - 25 = 1993553959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993553591) 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 63 ways as a sum of consecutive naturals, for example, 371856 + ... + 377178.

It is an arithmetic number, because the mean of its divisors is an integer number (54783960).

Almost surely, 21993553991 is an apocalyptic number.

1993553991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1993553991 is a deficient number, since it is larger than the sum of its proper divisors (1512619449).

1993553991 is a wasteful number, since it uses less digits than its factorization.

1993553991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5447 counting only the distinct ones).

The product of its digits is 1476225, while the sum is 54.

The square root of 1993553991 is about 44649.2328153575. The cubic root of 1993553991 is about 1258.5660160193.

The spelling of 1993553991 in words is "one billion, nine hundred ninety-three million, five hundred fifty-three thousand, nine hundred ninety-one".

Divisors: 1 3 9 11 13 27 33 39 97 99 117 143 291 297 351 429 873 1067 1261 1287 2619 3201 3783 3861 5323 9603 11349 13871 15969 28809 34047 41613 47907 58553 69199 124839 143721 175659 207597 374517 516331 526977 622791 761189 1548993 1580931 1868373 2283567 4646979 5679641 6712303 6850701 13940937 17038923 20136909 20552103 51116769 60410727 73835333 153350307 181232181 221505999 664517997 1993553991