Search a number
-
+
42456535201 is a prime number
BaseRepresentation
bin100111100010100110…
…110101000010100001
311001120212110110021201
4213202212311002201
51143422333111301
631300530521201
73032053411003
oct474246650241
9131525413251
1042456535201
1117007675323
12828a736201
134007ca40a2
1420aa946373
1511874c9201
hex9e29b50a1

42456535201 has 2 divisors, whose sum is σ = 42456535202. Its totient is φ = 42456535200.

The previous prime is 42456535189. The next prime is 42456535211. The reversal of 42456535201 is 10253565424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40915580176 + 1540955025 = 202276^2 + 39255^2 .

It is a cyclic number.

It is not a de Polignac number, because 42456535201 - 27 = 42456535073 is a prime.

It is a super-2 number, since 2×424565352012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42456535211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21228267600 + 21228267601.

It is an arithmetic number, because the mean of its divisors is an integer number (21228267601).

Almost surely, 242456535201 is an apocalyptic number.

It is an amenable number.

42456535201 is a deficient number, since it is larger than the sum of its proper divisors (1).

42456535201 is an equidigital number, since it uses as much as digits as its factorization.

42456535201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 42456535201 in words is "forty-two billion, four hundred fifty-six million, five hundred thirty-five thousand, two hundred one".