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1353066663 = 3131371571613
BaseRepresentation
bin101000010100110…
…0010100010100111
310111022000220112010
41100221202202213
510232341113123
6342132525303
745346606524
oct12051424247
93438026463
101353066663
11634853013
12319180833
13187428180
14cb9b614b
157dbc3993
hex50a628a7

1353066663 has 32 divisors (see below), whose sum is σ = 1970732736. Its totient is φ = 820804608.

The previous prime is 1353066661. The next prime is 1353066679. The reversal of 1353066663 is 3666603531.

It is not a de Polignac number, because 1353066663 - 21 = 1353066661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353066661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838045 + ... + 839657.

It is an arithmetic number, because the mean of its divisors is an integer number (61585398).

Almost surely, 21353066663 is an apocalyptic number.

1353066663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1353066663 is a deficient number, since it is larger than the sum of its proper divisors (617666073).

1353066663 is a wasteful number, since it uses less digits than its factorization.

1353066663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923.

The product of its (nonzero) digits is 174960, while the sum is 39.

The square root of 1353066663 is about 36784.0544665756. The cubic root of 1353066663 is about 1106.0456821294.

The spelling of 1353066663 in words is "one billion, three hundred fifty-three million, sixty-six thousand, six hundred sixty-three".

Divisors: 1 3 13 39 137 157 411 471 1613 1781 2041 4839 5343 6123 20969 21509 62907 64527 220981 253241 279617 662943 759723 838851 2872753 3292133 8618259 9876399 34694017 104082051 451022221 1353066663