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6820345337 = 13250777949
BaseRepresentation
bin1100101101000011…
…00011010111111001
3122121022200102220212
412112201203113321
5102432002022322
63044435400505
7331004656511
oct62641432771
918538612825
106820345337
11298a9a8443
1213a4153135
13849023300
14489b52841
1529db7d0e2
hex1968635f9

6820345337 has 12 divisors (see below), whose sum is σ = 7387728300. Its totient is φ = 6293671488.

The previous prime is 6820345331. The next prime is 6820345339. The reversal of 6820345337 is 7335430286.

It can be written as a sum of positive squares in 6 ways, for example, as 58736896 + 6761608441 = 7664^2 + 82229^2 .

It is not a de Polignac number, because 6820345337 - 232 = 2525378041 is a prime.

It is a super-2 number, since 2×68203453372 = 93034221031875287138, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6820345294 and 6820345303.

It is not an unprimeable number, because it can be changed into a prime (6820345331) 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, 854039 + ... + 861987.

It is an arithmetic number, because the mean of its divisors is an integer number (615644025).

Almost surely, 26820345337 is an apocalyptic number.

It is an amenable number.

6820345337 is a deficient number, since it is larger than the sum of its proper divisors (567382963).

6820345337 is a wasteful number, since it uses less digits than its factorization.

6820345337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052 (or 13039 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The square root of 6820345337 is about 82585.3821024036. The cubic root of 6820345337 is about 1896.4240530532.

The spelling of 6820345337 in words is "six billion, eight hundred twenty million, three hundred forty-five thousand, three hundred thirty-seven".

Divisors: 1 13 169 5077 7949 66001 103337 858013 1343381 40357073 524641949 6820345337