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13170066165774 = 234721987321917
BaseRepresentation
bin1011111110100110010100…
…0111011001000000001110
31201122001020112222212210000
42333221211013121000032
53211234243414301044
644002124520425130
72526335342223600
oct277514507310016
951561215885700
1013170066165774
11421843700a221
1215885446181a6
13746c1653aa3b
143376127a3170
1517c8b4c01d69
hexbfa651d900e

13170066165774 has 120 divisors (see below), whose sum is σ = 36135556106760. Its totient is φ = 3564829898784.

The previous prime is 13170066165761. The next prime is 13170066165799. The reversal of 13170066165774 is 47756166007131.

13170066165774 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 0 + 0 + 6 + 61 + 6 + 577 + 4 = 666.

13170066165774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13170066165774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43510137 + ... + 43811780.

It is an arithmetic number, because the mean of its divisors is an integer number (301129634223).

Almost surely, 213170066165774 is an apocalyptic number.

13170066165774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13170066165774 is an abundant number, since it is smaller than the sum of its proper divisors (22965489940986).

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

13170066165774 is a wasteful number, since it uses less digits than its factorization.

13170066165774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87321964 (or 87321948 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 13170066165774 in words is "thirteen trillion, one hundred seventy billion, sixty-six million, one hundred sixty-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 81 98 114 126 133 147 162 171 189 266 294 342 378 399 441 513 567 798 882 931 1026 1134 1197 1323 1539 1862 2394 2646 2793 3078 3591 3969 5586 7182 7938 8379 10773 16758 21546 25137 50274 75411 150822 87321917 174643834 261965751 523931502 611253419 785897253 1222506838 1571794506 1659116423 1833760257 2357691759 3318232846 3667520514 4278773933 4715383518 4977349269 5501280771 7073075277 8557547866 9954698538 11002561542 11613814961 12836321799 14146150554 14932047807 16503842313 23227629922 25672643598 29864095614 33007684626 34841444883 38508965397 44796143421 49511526939 69682889766 77017930794 81296704727 89592286842 99023053878 104524334649 115526896191 134388430263 162593409454 209048669298 231053792382 243890114181 268776860526 313573003947 346580688573 487780228362 627146007894 693161377146 731670342543 940719011841 1463340685086 1881438023682 2195011027629 4390022055258 6585033082887 13170066165774