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13442136565 = 51113127179827
BaseRepresentation
bin11001000010011011…
…01011100111110101
31021200210202021210211
430201031223213311
5210012141332230
610101503345421
7654052163344
oct144115534765
937623667724
1013442136565
115778810180
1227318b2271
131362b77480
1491737bb5b
1553a18a42a
hex32136b9f5

13442136565 has 64 divisors (see below), whose sum is σ = 19229736960. Its totient is φ = 8892253440.

The previous prime is 13442136563. The next prime is 13442136581. The reversal of 13442136565 is 56563124431.

It is not a de Polignac number, because 13442136565 - 21 = 13442136563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442136563) 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 63 ways as a sum of consecutive naturals, for example, 16253682 + ... + 16254508.

It is an arithmetic number, because the mean of its divisors is an integer number (300464640).

Almost surely, 213442136565 is an apocalyptic number.

It is an amenable number.

13442136565 is a deficient number, since it is larger than the sum of its proper divisors (5787600395).

13442136565 is a wasteful number, since it uses less digits than its factorization.

13442136565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162.

The product of its digits is 259200, while the sum is 40.

The spelling of 13442136565 in words is "thirteen billion, four hundred forty-two million, one hundred thirty-six thousand, five hundred sixty-five".

Divisors: 1 5 11 13 55 65 127 143 179 635 715 827 895 1397 1651 1969 2327 4135 6985 8255 9097 9845 10751 11635 18161 22733 25597 45485 53755 90805 105029 113665 118261 127985 148033 250063 295529 525145 591305 740165 1155319 1250315 1365377 1477645 1628363 1924429 3250819 5776595 6826885 8141815 9622145 15019147 16254095 18800191 21168719 75095735 94000955 105843595 206802101 244402483 1034010505 1222012415 2688427313 13442136565