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6892814046141 = 3217194750449129
BaseRepresentation
bin110010001001101101110…
…1110111001001110111101
3220101221120001200100121100
41210103123232321032331
51400412440343434031
622354303130323313
71310663233456002
oct144233356711675
926357501610540
106892814046141
112218253919801
12933a59589539
133accb31360aa
1419b884a918a9
15be4706b7de6
hex644dbbb93bd

6892814046141 has 48 divisors (see below), whose sum is σ = 11332892563200. Its totient is φ = 4010100286464.

The previous prime is 6892814046109. The next prime is 6892814046143. The reversal of 6892814046141 is 1416404182986.

6892814046141 is a `hidden beast` number, since 6 + 8 + 9 + 2 + 8 + 14 + 0 + 4 + 614 + 1 = 666.

It is not a de Polignac number, because 6892814046141 - 25 = 6892814046109 is a prime.

It is a super-3 number, since 3×68928140461413 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6892814046143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25087936 + ... + 25361193.

It is an arithmetic number, because the mean of its divisors is an integer number (236101928400).

Almost surely, 26892814046141 is an apocalyptic number.

It is an amenable number.

6892814046141 is a deficient number, since it is larger than the sum of its proper divisors (4440078517059).

6892814046141 is a wasteful number, since it uses less digits than its factorization.

6892814046141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50449218 (or 50449215 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 6892814046141 in words is "six trillion, eight hundred ninety-two billion, eight hundred fourteen million, forty-six thousand, one hundred forty-one".

Divisors: 1 3 9 17 19 47 51 57 141 153 171 323 423 799 893 969 2397 2679 2907 7191 8037 15181 45543 136629 50449129 151347387 454042161 857635193 958533451 2371109063 2572905579 2875600353 7113327189 7718716737 8626801059 16295068667 21339981567 40308854071 45051072197 48885206001 120926562213 135153216591 146655618003 362779686639 405459649773 765868227349 2297604682047 6892814046141