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688859970768 = 243211342334069
BaseRepresentation
bin10100000011000110100…
…00001111110011010000
32102212001211120021111200
422001203100033303100
542241241123031033
61244242523511200
7100524410066124
oct12014320176320
92385054507450
10688859970768
11246164549872
12b1609988500
134cc61524b78
14254ab9c3584
1512dbb0a8013
hexa06340fcd0

688859970768 has 60 divisors (see below), whose sum is σ = 1944911843940. Its totient is φ = 227587949568.

The previous prime is 688859970763. The next prime is 688859970791. The reversal of 688859970768 is 867079958886.

It can be written as a sum of positive squares in 2 ways, for example, as 375631700544 + 313228270224 = 612888^2 + 559668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688859970763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21150763 + ... + 21183306.

It is an arithmetic number, because the mean of its divisors is an integer number (32415197399).

Almost surely, 2688859970768 is an apocalyptic number.

It is an amenable number.

688859970768 is an abundant number, since it is smaller than the sum of its proper divisors (1256051873172).

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

688859970768 is a wasteful number, since it uses less digits than its factorization.

688859970768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42334196 (or 42334187 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 81.

The spelling of 688859970768 in words is "six hundred eighty-eight billion, eight hundred fifty-nine million, nine hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 42334069 84668138 127002207 169336276 254004414 338672552 381006621 508008828 677345104 762013242 1016017656 1524026484 2032035312 3048052968 4783749797 6096105936 9567499594 14351249391 19134999188 28702498782 38269998376 43053748173 57404997564 76539996752 86107496346 114809995128 172214992692 229619990256 344429985384 688859970768