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428164444881 = 34411796531103
BaseRepresentation
bin1100011101100001001…
…01101111001011010001
31111221011111221102010000
412032300211233023101
524003340044214011
6524410202000213
742635212506135
oct6166045571321
91457144842100
10428164444881
11155646737728
126ab934a6069
13314b6644a44
1416a1a91b3c5
15b20e2e4356
hex63b096f2d1

428164444881 has 80 divisors (see below), whose sum is σ = 660471356160. Its totient is φ = 276250417920.

The previous prime is 428164444879. The next prime is 428164444891. The reversal of 428164444881 is 188444461824.

428164444881 is a `hidden beast` number, since 4 + 2 + 81 + 6 + 44 + 448 + 81 = 666.

428164444881 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 428164444881 - 21 = 428164444879 is a prime.

It is a super-2 number, since 2×4281644448812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428164444861) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 388181176 + ... + 388182278.

It is an arithmetic number, because the mean of its divisors is an integer number (8255891952).

Almost surely, 2428164444881 is an apocalyptic number.

428164444881 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

428164444881 is a deficient number, since it is larger than the sum of its proper divisors (232306911279).

428164444881 is a wasteful number, since it uses less digits than its factorization.

428164444881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The spelling of 428164444881 in words is "four hundred twenty-eight billion, one hundred sixty-four million, four hundred forty-four thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 41 81 123 179 369 537 653 1103 1107 1611 1959 3309 3321 4833 5877 7339 9927 14499 17631 22017 26773 29781 45223 52893 66051 80319 89343 116887 135669 197437 198153 240957 350661 407007 592311 594459 720259 722871 1051983 1221021 1776933 2160777 2168613 3155949 3663063 4792367 5330799 6482331 8094917 9467847 14377101 15992397 19446993 24284751 29530619 43131303 58340979 72854253 88591857 128926361 129393909 218562759 265775571 386779083 388181727 655688277 797326713 1160337249 2391980139 3481011747 5285980801 10443035241 15857942403 47573827209 142721481627 428164444881