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6689385760 = 255174016133
BaseRepresentation
bin1100011101011011…
…11110110100100000
3122021012021000011011
412032231332310200
5102144440321020
63023440430304
7324524561251
oct61655766440
918235230134
106689385760
112922a90592
121368318394
13827b5cb35
144765c2b28
1529241035a
hex18eb7ed20

6689385760 has 96 divisors (see below), whose sum is σ = 16777765872. Its totient is φ = 2511667200.

The previous prime is 6689385737. The next prime is 6689385761. The reversal of 6689385760 is 675839866.

It can be written as a sum of positive squares in 8 ways, for example, as 6663130384 + 26255376 = 81628^2 + 5124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6689385695 and 6689385704.

It is not an unprimeable number, because it can be changed into a prime (6689385761) 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, 1087654 + ... + 1093786.

Almost surely, 26689385760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6689385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388882936).

6689385760 is an abundant number, since it is smaller than the sum of its proper divisors (10088380112).

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

6689385760 is a wasteful number, since it uses less digits than its factorization.

6689385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6566 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The square root of 6689385760 is about 81788.6652293580. The cubic root of 6689385760 is about 1884.2075822740.

The spelling of 6689385760 in words is "six billion, six hundred eighty-nine million, three hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 401 544 680 802 1360 1604 2005 2720 3208 4010 6133 6416 6817 8020 12266 12832 13634 16040 24532 27268 30665 32080 34085 49064 54536 61330 64160 68170 98128 104261 109072 122660 136340 196256 208522 218144 245320 272680 417044 490640 521305 545360 834088 981280 1042610 1090720 1668176 2085220 2459333 3336352 4170440 4918666 8340880 9837332 12296665 16681760 19674664 24593330 39349328 41808661 49186660 78698656 83617322 98373320 167234644 196746640 209043305 334469288 393493280 418086610 668938576 836173220 1337877152 1672346440 3344692880 6689385760