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2135879641753 = 11131910310771329
BaseRepresentation
bin11111000101001100010…
…110001110101010011001
321120012002010100211210021
4133011030112032222121
5234443240142014003
64313113133150441
7310212042255064
oct37051426165231
97505063324707
102135879641753
11753904414880
122a5b4592b421
131265495b3960
147553cb978db
153a85c1022bd
hex1f14c58ea99

2135879641753 has 64 divisors (see below), whose sum is σ = 2691959961600. Its totient is φ = 1665788405760.

The previous prime is 2135879641733. The next prime is 2135879641757. The reversal of 2135879641753 is 3571469785312.

It is a cyclic number.

It is not a de Polignac number, because 2135879641753 - 29 = 2135879641241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2135879641691 and 2135879641700.

It is not an unprimeable number, because it can be changed into a prime (2135879641757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29908393 + ... + 29979721.

It is an arithmetic number, because the mean of its divisors is an integer number (42061874400).

Almost surely, 22135879641753 is an apocalyptic number.

It is an amenable number.

2135879641753 is a deficient number, since it is larger than the sum of its proper divisors (556080319847).

2135879641753 is a wasteful number, since it uses less digits than its factorization.

2135879641753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71582.

The product of its digits is 38102400, while the sum is 61.

The spelling of 2135879641753 in words is "two trillion, one hundred thirty-five billion, eight hundred seventy-nine million, six hundred forty-one thousand, seven hundred fifty-three".

Divisors: 1 11 13 19 103 107 143 209 247 1133 1177 1339 1391 1957 2033 2717 11021 14729 15301 21527 22363 25441 26429 71329 121231 143273 209399 279851 290719 784619 927277 1355251 1576003 2303389 2722187 7346887 7632203 10200047 14907761 17618263 29944057 80815757 83954233 95509531 99218639 139590853 145011857 193800893 786116909 1050604841 1091405029 1535499383 1595130427 1814681089 1885154141 8647285999 10219519817 14936221271 19961491979 20736695551 112414717987 164298433981 194170876523 2135879641753