Search a number
-
+
10098377657 is a prime number
BaseRepresentation
bin10010110011110100…
…10000001110111001
3222001202212201220022
421121322100032321
5131140141041112
64350015140225
7505150536164
oct113172201671
928052781808
1010098377657
1143122a8665
121b59b14675
13c4c1b36c4
146bb250adb
153e1841d72
hex259e903b9

10098377657 has 2 divisors, whose sum is σ = 10098377658. Its totient is φ = 10098377656.

The previous prime is 10098377633. The next prime is 10098377717. The reversal of 10098377657 is 75677389001.

10098377657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7030990201 + 3067387456 = 83851^2 + 55384^2 .

It is an emirp because it is prime and its reverse (75677389001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10098377657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10098377599 and 10098377608.

It is not a weakly prime, because it can be changed into another prime (10098377057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5049188828 + 5049188829.

It is an arithmetic number, because the mean of its divisors is an integer number (5049188829).

Almost surely, 210098377657 is an apocalyptic number.

It is an amenable number.

10098377657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10098377657 is an equidigital number, since it uses as much as digits as its factorization.

10098377657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 53.

The spelling of 10098377657 in words is "ten billion, ninety-eight million, three hundred seventy-seven thousand, six hundred fifty-seven".