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13006774005 = 353127971557
BaseRepresentation
bin11000001110100001…
…11001111011110101
31020120110112120122120
430013100321323311
5203114213232010
65550352150153
7640214516631
oct140720717365
936513476576
1013006774005
115574a91905
12262bb38359
1312c39040a4
148b560ddc1
15511d3de70
hex307439ef5

13006774005 has 16 divisors (see below), whose sum is σ = 21482156544. Its totient is φ = 6713173440.

The previous prime is 13006773973. The next prime is 13006774009. The reversal of 13006774005 is 50047760031.

It is not a de Polignac number, because 13006774005 - 25 = 13006773973 is a prime.

It is a super-3 number, since 3×130067740053 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006774009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13985314 + ... + 13986243.

It is an arithmetic number, because the mean of its divisors is an integer number (1342634784).

Almost surely, 213006774005 is an apocalyptic number.

13006774005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13006774005 is a deficient number, since it is larger than the sum of its proper divisors (8475382539).

13006774005 is a wasteful number, since it uses less digits than its factorization.

13006774005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27971596.

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 13006774005 in words is "thirteen billion, six million, seven hundred seventy-four thousand, five".

Divisors: 1 3 5 15 31 93 155 465 27971557 83914671 139857785 419573355 867118267 2601354801 4335591335 13006774005