Search a number
-
+
58088954235397 is a prime number
BaseRepresentation
bin11010011010100111000110…
…11110111000101000000101
321121200020202002122000210011
431031103203132320220011
530103212134241013042
6323313410331230221
715143534303105461
oct1515234336705005
9247606662560704
1058088954235397
1117566429320a48
1266220412a8371
1326549c3597887
14104b73dd234a1
156ab061230a17
hex34d4e37b8a05

58088954235397 has 2 divisors, whose sum is σ = 58088954235398. Its totient is φ = 58088954235396.

The previous prime is 58088954235313. The next prime is 58088954235419. The reversal of 58088954235397 is 79353245988085.

58088954235397 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., 54892006659396 + 3196947576001 = 7408914^2 + 1788001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58088954235397 is a prime.

It is a super-3 number, since 3×580889542353973 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58088954235997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29044477117698 + 29044477117699.

It is an arithmetic number, because the mean of its divisors is an integer number (29044477117699).

Almost surely, 258088954235397 is an apocalyptic number.

It is an amenable number.

58088954235397 is a deficient number, since it is larger than the sum of its proper divisors (1).

58088954235397 is an equidigital number, since it uses as much as digits as its factorization.

58088954235397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736000, while the sum is 76.

Subtracting from 58088954235397 its sum of digits (76), we obtain a square (58088954235321 = 76216112).

The spelling of 58088954235397 in words is "fifty-eight trillion, eighty-eight billion, nine hundred fifty-four million, two hundred thirty-five thousand, three hundred ninety-seven".