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688799115607681 = 132931097164844697
BaseRepresentation
bin1001110010011101011000101…
…0100110110111111010000001
310100022211112220200010120000001
42130213112022212313322001
51210240241042043421211
610440541540110000001
7265041044125116601
oct23447261246677201
93308745820116001
10688799115607681
1118a522078893a71
1265305a721a6001
1323745629c1c0a0
14c2140ab1b0c01
1554973a43b6ac1
hex272758a9b7e81

688799115607681 has 16 divisors (see below), whose sum is σ = 744993853110864. Its totient is φ = 633066933003264.

The previous prime is 688799115607679. The next prime is 688799115607777. The reversal of 688799115607681 is 186706511997886.

It can be written as a sum of positive squares in 8 ways, for example, as 59262914494081 + 629536201113600 = 7698241^2 + 25090560^2 .

It is a cyclic number.

It is not a de Polignac number, because 688799115607681 - 21 = 688799115607679 is a prime.

It is a super-2 number, since 2×6887991156076812 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 688799115607595 and 688799115607604.

It is not an unprimeable number, because it can be changed into a prime (688799115607621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78243876 + ... + 86600821.

It is an arithmetic number, because the mean of its divisors is an integer number (46562115819429).

Almost surely, 2688799115607681 is an apocalyptic number.

It is an amenable number.

688799115607681 is a deficient number, since it is larger than the sum of its proper divisors (56194737503183).

688799115607681 is a wasteful number, since it uses less digits than its factorization.

688799115607681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164846100.

The product of its (nonzero) digits is 2194698240, while the sum is 82.

The spelling of 688799115607681 in words is "six hundred eighty-eight trillion, seven hundred ninety-nine billion, one hundred fifteen million, six hundred seven thousand, six hundred eighty-one".

Divisors: 1 13 293 1097 3809 14261 321421 4178473 164844697 2142981061 48299496221 180834632609 627893450873 2350850223917 52984547354437 688799115607681