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13093023405 = 3571121973743
BaseRepresentation
bin11000011000110011…
…11010111010101101
31020210110211111120210
430030121322322231
5203303303222110
610003112533033
7642312601620
oct141431727255
936713744523
1013093023405
115609741300
1226549b1179
131308741b37
148c2c61db7
155196c9520
hex30c67aead

13093023405 has 192 divisors, whose sum is σ = 28118200320. Its totient is φ = 5077416960.

The previous prime is 13093023373. The next prime is 13093023413. The reversal of 13093023405 is 50432039031.

It is not a de Polignac number, because 13093023405 - 25 = 13093023373 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17621464 + ... + 17622206.

It is an arithmetic number, because the mean of its divisors is an integer number (146448960).

Almost surely, 213093023405 is an apocalyptic number.

13093023405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13093023405 is an abundant number, since it is smaller than the sum of its proper divisors (15025176915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13093023405 is a wasteful number, since it uses less digits than its factorization.

13093023405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 13093023405 in words is "thirteen billion, ninety-three million, twenty-three thousand, four hundred five".