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12820138893 = 33736919413
BaseRepresentation
bin10111111000010001…
…11100101110001101
31020002110100112102000
423330020330232031
5202223423421033
65520044022513
7632460245142
oct137410745615
936073315360
1012820138893
1154896a8111
122599531a39
131294049103
1489890a3c9
15500774a13
hex2fc23cb8d

12820138893 has 32 divisors (see below), whose sum is σ = 19282884480. Its totient is φ = 8416586880.

The previous prime is 12820138883. The next prime is 12820138901. The reversal of 12820138893 is 39883102821.

It is a happy number.

It is not a de Polignac number, because 12820138893 - 221 = 12818041741 is a prime.

It is a super-2 number, since 2×128201388932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820138853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357255 + ... + 1366667.

It is an arithmetic number, because the mean of its divisors is an integer number (602590140).

Almost surely, 212820138893 is an apocalyptic number.

It is an amenable number.

12820138893 is a deficient number, since it is larger than the sum of its proper divisors (6462745587).

12820138893 is an equidigital number, since it uses as much as digits as its factorization.

12820138893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10180 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12820138893 in words is "twelve billion, eight hundred twenty million, one hundred thirty-eight thousand, eight hundred ninety-three".

Divisors: 1 3 9 27 73 219 657 691 1971 2073 6219 9413 18657 28239 50443 84717 151329 254151 453987 687149 1361961 2061447 6184341 6504383 18553023 19513149 58539447 175618341 474819959 1424459877 4273379631 12820138893