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2153980793 is a prime number
BaseRepresentation
bin1000000001100011…
…0010001101111001
312120010002120011102
42000120302031321
513402404341133
6553423141145
7104243351246
oct20030621571
95503076142
102153980793
11a05958718
125014447b5
1328433b163
141660dc5cd
15c917b7e8
hex80632379

2153980793 has 2 divisors, whose sum is σ = 2153980794. Its totient is φ = 2153980792.

The previous prime is 2153980769. The next prime is 2153980799. The reversal of 2153980793 is 3970893512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1743229504 + 410751289 = 41752^2 + 20267^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153980793 - 26 = 2153980729 is a prime.

It is a super-2 number, since 2×21539807932 = 9279266513225817698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2153980799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076990396 + 1076990397.

It is an arithmetic number, because the mean of its divisors is an integer number (1076990397).

Almost surely, 22153980793 is an apocalyptic number.

It is an amenable number.

2153980793 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153980793 is an equidigital number, since it uses as much as digits as its factorization.

2153980793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 2153980793 is about 46410.9986210165. The cubic root of 2153980793 is about 1291.4589572705.

The spelling of 2153980793 in words is "two billion, one hundred fifty-three million, nine hundred eighty thousand, seven hundred ninety-three".