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13087046775 = 35211294312721
BaseRepresentation
bin11000011000000110…
…00111110001110111
31020210001120212012010
430030003013301313
5203300240444100
610002340455303
7642211030215
oct141403076167
936701525163
1013087046775
115606329a40
1226529aa533
13130742b67a
148c2147cb5
15518de8750
hex30c0c7c77

13087046775 has 96 divisors (see below), whose sum is σ = 24988043520. Its totient is φ = 5983488000.

The previous prime is 13087046773. The next prime is 13087046789. The reversal of 13087046775 is 57764078031.

13087046775 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13087046775 - 21 = 13087046773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13087046773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1022415 + ... + 1035135.

It is an arithmetic number, because the mean of its divisors is an integer number (260292120).

Almost surely, 213087046775 is an apocalyptic number.

13087046775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13087046775 is a deficient number, since it is larger than the sum of its proper divisors (11900996745).

13087046775 is a wasteful number, since it uses less digits than its factorization.

13087046775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 13087046775 in words is "thirteen billion, eighty-seven million, forty-six thousand, seven hundred seventy-five".

Divisors: 1 3 5 11 15 25 29 33 43 55 75 87 129 145 165 215 275 319 435 473 645 725 825 957 1075 1247 1419 1595 2175 2365 3225 3741 4785 6235 7095 7975 11825 12721 13717 18705 23925 31175 35475 38163 41151 63605 68585 93525 139931 190815 205755 318025 342925 368909 419793 547003 699655 954075 1028775 1106727 1641009 1844545 2098965 2735015 3498275 4057999 5533635 6017033 8205045 9222725 10494825 12173997 13675075 15863087 18051099 20289995 27668175 30085165 41025225 47589261 60869985 79315435 90255495 101449975 150425825 174493957 237946305 304349925 396577175 451277475 523481871 872469785 1189731525 2617409355 4362348925 13087046775