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6830801541 = 324716148467
BaseRepresentation
bin1100101110010010…
…11100001010000101
3122122001100200010200
412113021130022011
5102442141122131
63045451441113
7331162566204
oct62711341205
918561320120
106830801541
11299589a333
1213a7756199
1384b244705
1448b2b523b
1529ea462e6
hex19725c285

6830801541 has 12 divisors (see below), whose sum is σ = 10076644032. Its totient is φ = 4456976616.

The previous prime is 6830801521. The next prime is 6830801543. The reversal of 6830801541 is 1451080386.

6830801541 is a `hidden beast` number, since 6 + 8 + 30 + 80 + 1 + 541 = 666.

It is not a de Polignac number, because 6830801541 - 210 = 6830800517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6830801496 and 6830801505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830801543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8073811 + ... + 8074656.

It is an arithmetic number, because the mean of its divisors is an integer number (839720336).

Almost surely, 26830801541 is an apocalyptic number.

It is an amenable number.

6830801541 is a deficient number, since it is larger than the sum of its proper divisors (3245842491).

6830801541 is a wasteful number, since it uses less digits than its factorization.

6830801541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16148520 (or 16148517 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6830801541 is about 82648.6632741268. The cubic root of 6830801541 is about 1897.3926878752.

The spelling of 6830801541 in words is "six billion, eight hundred thirty million, eight hundred one thousand, five hundred forty-one".

Divisors: 1 3 9 47 141 423 16148467 48445401 145336203 758977949 2276933847 6830801541