Search a number
-
+
3681010599157 is a prime number
BaseRepresentation
bin110101100100001101010…
…101000100010011110101
3111000220022221212011100201
4311210031111010103311
5440302202203133112
611455011040040501
7526641605560663
oct65441525042365
914026287764321
103681010599157
11119a120579471
124b54a3003131
1320916baa0888
14ca23a221c33
1565b41657257
hex3590d5444f5

3681010599157 has 2 divisors, whose sum is σ = 3681010599158. Its totient is φ = 3681010599156.

The previous prime is 3681010599151. The next prime is 3681010599179. The reversal of 3681010599157 is 7519950101863.

3681010599157 is digitally balanced in base 3, 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., 3675997109521 + 5013489636 = 1917289^2 + 70806^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3681010599157 is a prime.

It is a super-2 number, since 2×36810105991572 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3681010599098 and 3681010599107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3681010599151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1840505299578 + 1840505299579.

It is an arithmetic number, because the mean of its divisors is an integer number (1840505299579).

Almost surely, 23681010599157 is an apocalyptic number.

It is an amenable number.

3681010599157 is a deficient number, since it is larger than the sum of its proper divisors (1).

3681010599157 is an equidigital number, since it uses as much as digits as its factorization.

3681010599157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2041200, while the sum is 55.

The spelling of 3681010599157 in words is "three trillion, six hundred eighty-one billion, ten million, five hundred ninety-nine thousand, one hundred fifty-seven".