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13681288933 = 131163904907
BaseRepresentation
bin11001011110111011…
…11110011011100101
31022022110202111011221
430233131332123211
5211004402221213
610141325300341
7663015015514
oct145735763345
938273674157
1013681288933
115890804964
122799a046b1
1313a058c550
1493b03267b
1555117a38d
hex32f77e6e5

13681288933 has 8 divisors (see below), whose sum is σ = 14746380768. Its totient is φ = 12618009264.

The previous prime is 13681288897. The next prime is 13681288961. The reversal of 13681288933 is 33988218631.

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 13681288933 - 233 = 5091354341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13681288633) 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, 437335 + ... + 467572.

It is an arithmetic number, because the mean of its divisors is an integer number (1843297596).

Almost surely, 213681288933 is an apocalyptic number.

13681288933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13681288933 is a deficient number, since it is larger than the sum of its proper divisors (1065091835).

13681288933 is a wasteful number, since it uses less digits than its factorization.

13681288933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906083.

The product of its digits is 1492992, while the sum is 52.

The spelling of 13681288933 in words is "thirteen billion, six hundred eighty-one million, two hundred eighty-eight thousand, nine hundred thirty-three".

Divisors: 1 13 1163 15119 904907 11763791 1052406841 13681288933