Search a number
-
+
7345857412601 is a prime number
BaseRepresentation
bin110101011100101011100…
…1110001011110111111001
3222000020221102200221011022
41222321113032023313321
51430323303444200401
623342350150112225
71355502123524201
oct152712716136771
928006842627138
107345857412601
1123823a7004444
129a781494b675
13413932ba05b6
141b5781839401
15cb138c1471b
hex6ae5738bdf9

7345857412601 has 2 divisors, whose sum is σ = 7345857412602. Its totient is φ = 7345857412600.

The previous prime is 7345857412591. The next prime is 7345857412657. The reversal of 7345857412601 is 1062147585437.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4756220127376 + 2589637285225 = 2180876^2 + 1609235^2 .

It is a cyclic number.

It is not a de Polignac number, because 7345857412601 - 210 = 7345857411577 is a prime.

It is a super-2 number, since 2×73458574126012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7345857412301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3672928706300 + 3672928706301.

It is an arithmetic number, because the mean of its divisors is an integer number (3672928706301).

Almost surely, 27345857412601 is an apocalyptic number.

It is an amenable number.

7345857412601 is a deficient number, since it is larger than the sum of its proper divisors (1).

7345857412601 is an equidigital number, since it uses as much as digits as its factorization.

7345857412601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 7345857412601 in words is "seven trillion, three hundred forty-five billion, eight hundred fifty-seven million, four hundred twelve thousand, six hundred one".