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859386474961 = 74189192
BaseRepresentation
bin11001000000101110110…
…11001111000111010001
310001011020010021020121021
430200113123033013101
5103040010414144321
61454444030355441
7116042253340000
oct14402733170721
93034203236537
10859386474961
11301511296373
1211a67a95bb81
1363069583aa1
142d847550c37
151754bc54941
hexc8176cf1d1

859386474961 has 15 divisors (see below), whose sum is σ = 1002610894281. Its totient is φ = 736578043236.

The previous prime is 859386474949. The next prime is 859386474977. The reversal of 859386474961 is 169474683958.

It is a happy number.

The square root of 859386474961 is 927031.

It is a perfect power (a square), and thus also a powerful number.

859386474961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 859386474961 - 221 = 859384377809 is a prime.

It is a super-2 number, since 2×8593864749612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (859386474901) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 45415060 + ... + 45433978.

Almost surely, 2859386474961 is an apocalyptic number.

859386474961 is the 927031-st square number.

859386474961 is the 463516-th centered octagonal number.

It is an amenable number.

859386474961 is a deficient number, since it is larger than the sum of its proper divisors (143224419320).

859386474961 is an frugal number, since it uses more digits than its factorization.

859386474961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37866 (or 18926 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 70.

The spelling of 859386474961 in words is "eight hundred fifty-nine billion, three hundred eighty-six million, four hundred seventy-four thousand, nine hundred sixty-one".

Divisors: 1 7 49 343 2401 18919 132433 927031 6489217 45424519 357928561 2505499927 17538499489 122769496423 859386474961