Search a number
-
+
2657396141 is a prime number
BaseRepresentation
bin1001111001100100…
…1010010110101101
320212012100201012022
42132121022112231
520420243134031
61115405115525
7122565331421
oct23631122655
96765321168
102657396141
111144038064
12621b58ba5
1333471a96a
141b2d02b81
1510846b97b
hex9e64a5ad

2657396141 has 2 divisors, whose sum is σ = 2657396142. Its totient is φ = 2657396140.

The previous prime is 2657396117. The next prime is 2657396197. The reversal of 2657396141 is 1416937562.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2370229225 + 287166916 = 48685^2 + 16946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2657396141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2657396092 and 2657396101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2657396111) 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, 1328698070 + 1328698071.

It is an arithmetic number, because the mean of its divisors is an integer number (1328698071).

Almost surely, 22657396141 is an apocalyptic number.

It is an amenable number.

2657396141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2657396141 is an equidigital number, since it uses as much as digits as its factorization.

2657396141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 44.

The square root of 2657396141 is about 51549.9383219806. The cubic root of 2657396141 is about 1385.1137270582.

The spelling of 2657396141 in words is "two billion, six hundred fifty-seven million, three hundred ninety-six thousand, one hundred forty-one".