Search a number
-
+
13136369407665 = 3572113239661777
BaseRepresentation
bin1011111100101000110010…
…1000011101011010110001
31201111211021011121012121220
42333022030220131122301
53210211241032021130
643534433110135253
72524033323422400
oct277121450353261
951454234535556
1013136369407665
1142051150800a9
121581abb651529
137439a631880a
14335b373bd637
1517ba917a2410
hexbf28ca1d6b1

13136369407665 has 96 divisors (see below), whose sum is σ = 24769344637440. Its totient is φ = 5927141154816.

The previous prime is 13136369407663. The next prime is 13136369407709. The reversal of 13136369407665 is 56670496363131.

It is not a de Polignac number, because 13136369407665 - 21 = 13136369407663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13136369407599 and 13136369407608.

It is not an unprimeable number, because it can be changed into a prime (13136369407663) 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 95 ways as a sum of consecutive naturals, for example, 19519257 + ... + 20181033.

It is an arithmetic number, because the mean of its divisors is an integer number (258014006640).

Almost surely, 213136369407665 is an apocalyptic number.

13136369407665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13136369407665 is a deficient number, since it is larger than the sum of its proper divisors (11632975229775).

13136369407665 is a wasteful number, since it uses less digits than its factorization.

13136369407665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662151 (or 662144 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 13136369407665 in words is "thirteen trillion, one hundred thirty-six billion, three hundred sixty-nine million, four hundred seven thousand, six hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 49 105 113 147 239 245 339 565 717 735 791 1195 1673 1695 2373 3585 3955 5019 5537 8365 11711 11865 16611 25095 27007 27685 35133 58555 81021 83055 135035 175665 189049 405105 567147 661777 945245 1323343 1985331 2835735 3308885 3970029 4632439 6616715 9926655 13897317 19850145 23162195 32427073 69486585 74780801 97281219 158164703 162135365 224342403 373904005 474494109 486406095 523465607 790823515 1107152921 1121712015 1570396821 2372470545 2617328035 3321458763 3664259249 5535764605 7750070447 7851984105 10992777747 16607293815 17872611439 18321296245 23250211341 38750352235 53617834317 54963888735 89363057195 116251056705 125108280073 268089171585 375324840219 625541400365 875757960511 1876624201095 2627273881533 4378789802555 13136369407665