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2827596001381 is a prime number
BaseRepresentation
bin101001001001011001110…
…110101111000001100101
3101000022112000201201011221
4221021121312233001211
5332311404034021011
610002551335300341
7411200315306434
oct51113166570145
911008460651157
102827596001381
119a01a4255898
1239801021a6b1
1317684481a138
149abdbc7d11b
154d843d32971
hex29259daf065

2827596001381 has 2 divisors, whose sum is σ = 2827596001382. Its totient is φ = 2827596001380.

The previous prime is 2827596001343. The next prime is 2827596001411. The reversal of 2827596001381 is 1831006957282.

It is a happy number.

2827596001381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2731635450756 + 95960550625 = 1652766^2 + 309775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2827596001381 is a prime.

It is a super-2 number, since 2×28275960013812 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2827596001481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1413798000690 + 1413798000691.

It is an arithmetic number, because the mean of its divisors is an integer number (1413798000691).

Almost surely, 22827596001381 is an apocalyptic number.

It is an amenable number.

2827596001381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2827596001381 is an equidigital number, since it uses as much as digits as its factorization.

2827596001381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 2827596001381 in words is "two trillion, eight hundred twenty-seven billion, five hundred ninety-six million, one thousand, three hundred eighty-one".