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13161616781805 = 3352915672145401
BaseRepresentation
bin1011111110000110110101…
…1111100011000111101101
31201121020102200222200222000
42333201231133203013231
53211114442344004210
643554210245042513
72525616063521232
oct277415537430755
951536380880860
1013161616781805
1142148a0606a68
1215869869b6439
1374619ab8545b
1433705055b789
1517c56d03aac0
hexbf86d7e31ed

13161616781805 has 64 divisors (see below), whose sum is σ = 24220730419200. Its totient is φ = 6773147942400.

The previous prime is 13161616781779. The next prime is 13161616781837. The reversal of 13161616781805 is 50818761616131.

13161616781805 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 616 + 7 + 8 + 18 + 0 + 5 = 666.

It is not a de Polignac number, because 13161616781805 - 214 = 13161616765421 is a prime.

It is a super-2 number, since 2×131616167818052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5062105 + ... + 7207505.

It is an arithmetic number, because the mean of its divisors is an integer number (378448912800).

Almost surely, 213161616781805 is an apocalyptic number.

13161616781805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13161616781805 is a deficient number, since it is larger than the sum of its proper divisors (11059113637395).

13161616781805 is a wasteful number, since it uses less digits than its factorization.

13161616781805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147011 (or 2147005 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 13161616781805 in words is "thirteen trillion, one hundred sixty-one billion, six hundred sixteen million, seven hundred eighty-one thousand, eight hundred five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1305 1567 3915 4701 7835 14103 23505 42309 45443 70515 136329 211545 227215 408987 681645 1226961 2044935 2145401 6134805 6436203 10727005 19308609 32181015 57925827 62216629 96543045 186649887 289629135 311083145 559949661 933249435 1679848983 2799748305 3361843367 8399244915 10085530101 16809216835 30256590303 50427650505 90769770909 97493457643 151282951515 292480372929 453848854545 487467288215 877441118787 1462401864645 2632323356361 4387205593935 13161616781805