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6677963395177 = 61269947342961
BaseRepresentation
bin110000100101101010110…
…1000101101000001101001
3212122101222202021102210011
41201023111220231001221
51333402432112121202
622111451455251521
71256316105201334
oct141132550550151
925571882242704
106677963395177
112145121273748
128ba298519ba1
133959631cc6a9
1419130254561b
15b8a985d0bd7
hex612d5a2d069

6677963395177 has 16 divisors (see below), whose sum is σ = 6813548079120. Its totient is φ = 6543227289600.

The previous prime is 6677963395153. The next prime is 6677963395193. The reversal of 6677963395177 is 7715933697766.

It can be written as a sum of positive squares in 8 ways, for example, as 1420568399376 + 5257394995801 = 1191876^2 + 2292901^2 .

It is a cyclic number.

It is not a de Polignac number, because 6677963395177 - 239 = 6128207581289 is a prime.

It is a super-2 number, since 2×66779633951772 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6677963395277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155420977 + ... + 155463937.

It is an arithmetic number, because the mean of its divisors is an integer number (425846754945).

Almost surely, 26677963395177 is an apocalyptic number.

It is an amenable number.

6677963395177 is a deficient number, since it is larger than the sum of its proper divisors (135584683943).

6677963395177 is a wasteful number, since it uses less digits than its factorization.

6677963395177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52764.

The product of its digits is 1890355320, while the sum is 76.

The spelling of 6677963395177 in words is "six trillion, six hundred seventy-seven billion, nine hundred sixty-three million, three hundred ninety-five thousand, one hundred seventy-seven".

Divisors: 1 61 269 9473 16409 42961 577853 2548237 2620621 11556509 155442457 406969553 704947049 24825142733 109474809757 6677963395177