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145847610001 is a prime number
BaseRepresentation
bin1000011111010100110…
…0011110101010010001
3111221110101000020122101
42013311030132222101
54342143442010001
6151000152240401
713352145141652
oct2076514365221
9457411006571
10145847610001
11569431a0085
12243240a0101
13109a4203062
1470b80cd529
153bd92a6a01
hex21f531ea91

145847610001 has 2 divisors, whose sum is σ = 145847610002. Its totient is φ = 145847610000.

The previous prime is 145847609987. The next prime is 145847610017. The reversal of 145847610001 is 100016748541.

145847610001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3819002+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145847610000 + 1 = 381900^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 145847610001 - 211 = 145847607953 is a prime.

It is not a weakly prime, because it can be changed into another prime (145847610031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72923805000 + 72923805001.

It is an arithmetic number, because the mean of its divisors is an integer number (72923805001).

Almost surely, 2145847610001 is an apocalyptic number.

It is an amenable number.

145847610001 is a deficient number, since it is larger than the sum of its proper divisors (1).

145847610001 is an equidigital number, since it uses as much as digits as its factorization.

145847610001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 145847610001 in words is "one hundred forty-five billion, eight hundred forty-seven million, six hundred ten thousand, one".