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2591131704681 = 3133714929341131
BaseRepresentation
bin100101101101001011011…
…111000001110101101001
3100011201011102102211022010
4211231023133001311221
5314423114204022211
65302203252550133
7355126442042502
oct45551337016551
910151142384263
102591131704681
119099903298a3
1235a218922349
1315a45bb05c50
148d5a9003ba9
15476044d74a6
hex25b4b7c1d69

2591131704681 has 64 divisors (see below), whose sum is σ = 3860024313600. Its totient is φ = 1535737605120.

The previous prime is 2591131704673. The next prime is 2591131704713. The reversal of 2591131704681 is 1864071311952.

It is not a de Polignac number, because 2591131704681 - 23 = 2591131704673 is a prime.

It is a super-2 number, since 2×25911317046812 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2591131704681.

It is not an unprimeable number, because it can be changed into a prime (2591131704631) 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 63 ways as a sum of consecutive naturals, for example, 62976486 + ... + 63017616.

It is an arithmetic number, because the mean of its divisors is an integer number (60312879900).

It is a 1-persistent number, because it is pandigital, but 2⋅2591131704681 = 5182263409362 is not.

Almost surely, 22591131704681 is an apocalyptic number.

It is an amenable number.

2591131704681 is a deficient number, since it is larger than the sum of its proper divisors (1268892608919).

2591131704681 is a wasteful number, since it uses less digits than its factorization.

2591131704681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41626.

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 2591131704681 in words is "two trillion, five hundred ninety-one billion, one hundred thirty-one million, seven hundred four thousand, six hundred eighty-one".

Divisors: 1 3 13 37 39 111 149 293 447 481 879 1443 1937 3809 5513 5811 10841 11427 16539 32523 41131 43657 71669 123393 130971 140933 215007 422799 534703 567541 1521847 1604109 1615309 1702623 4565541 4845927 6128519 12051383 18385557 19784011 20999017 36154149 59352033 62997051 79670747 156667979 226755203 239012241 445901171 470003937 680265609 1337703513 1795656067 2947817639 5386968201 5796715223 8843452917 17390145669 23343528871 66439274479 70030586613 199317823437 863710568227 2591131704681