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688668525866886 = 2329149214991235539
BaseRepresentation
bin1001110010010101110010001…
…0110110100010111110000110
310100022101001211122111101002120
42130211130202312202332012
51210231121120110220021
610440401541522350410
7265025442030462405
oct23445344266427606
93308331748441076
10688668525866886
1118a481755333954
12652a46a7abb406
1323736217b01506
14c20ba3d66d63c
155493cae8b02c6
hex2725722da2f86

688668525866886 has 64 divisors (see below), whose sum is σ = 1434461940000000. Its totient is φ = 220142507018112.

The previous prime is 688668525866863. The next prime is 688668525866887.

688668525866886 is nontrivially palindromic in base 10.

688668525866886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 688668525866793 and 688668525866802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688668525866887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556765305 + ... + 558000843.

It is an arithmetic number, because the mean of its divisors is an integer number (22413467812500).

Almost surely, 2688668525866886 is an apocalyptic number.

688668525866886 is an abundant number, since it is smaller than the sum of its proper divisors (745793414133114).

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

688668525866886 is a wasteful number, since it uses less digits than its factorization.

688668525866886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257221.

The product of its digits is 611529523200, while the sum is 96.

The spelling of 688668525866886 in words is "six hundred eighty-eight trillion, six hundred sixty-eight billion, five hundred twenty-five million, eight hundred sixty-six thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 29 58 87 149 174 298 447 894 4321 8642 12963 21499 25926 42998 64497 128994 623471 1235539 1246942 1870413 2471078 3203351 3706617 3740826 6406702 7413234 9610053 19220106 35830631 71661262 92897179 107491893 184095311 185794358 214983786 278691537 368190622 552285933 557383074 1104571866 5338764019 10677528038 16016292057 26562852961 32032584114 53125705922 79688558883 159377117766 770322735869 1540645471738 2310968207607 3957865091189 4621936415214 7915730182378 11873595273567 23747190547134 114778087644481 229556175288962 344334262933443 688668525866886