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677712240009 = 327213037117877
BaseRepresentation
bin10011101110010101100…
…11000001110110001001
32101210021221010212202200
421313022303001312021
542100423313140014
61235200421150413
766651224664300
oct11671263016611
92353257125680
10677712240009
11241463989742
12ab41855b409
134bba5b1448c
1424b31259437
1512967586a09
hex9dcacc1d89

677712240009 has 36 divisors (see below), whose sum is σ = 1138837982724. Its totient is φ = 387231147072.

The previous prime is 677712239969. The next prime is 677712240017. The reversal of 677712240009 is 900042217776.

677712240009 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 173448926784 + 504263313225 = 416472^2 + 710115^2 .

It is not a de Polignac number, because 677712240009 - 212 = 677712235913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677712240059) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5690379 + ... + 5808255.

It is an arithmetic number, because the mean of its divisors is an integer number (31634388409).

Almost surely, 2677712240009 is an apocalyptic number.

It is an amenable number.

677712240009 is a deficient number, since it is larger than the sum of its proper divisors (461125742715).

677712240009 is a wasteful number, since it uses less digits than its factorization.

677712240009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130934 (or 130924 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 677712240009 in words is "six hundred seventy-seven billion, seven hundred twelve million, two hundred forty thousand, nine".

Divisors: 1 3 7 9 21 49 63 147 441 13037 39111 91259 117333 117877 273777 353631 638813 821331 825139 1060893 1916439 2475417 5749317 5775973 7426251 17327919 51983757 1536762449 4610287347 10757337143 13830862041 32272011429 75301360001 96816034287 225904080003 677712240009