Search a number
-
+
146626626641 = 1114423924197
BaseRepresentation
bin1000100010001110100…
…0001100010001010001
3112000110122212101120112
42020203220030101101
54400242404023031
6151205341251105
713410354522335
oct2104350142121
9460418771515
10146626626641
11572029a9890
1224500b63a95
1310a9971a051
14714d7557c5
153c3288662b
hex2223a0c451

146626626641 has 8 divisors (see below), whose sum is σ = 159967583424. Its totient is φ = 133287547120.

The previous prime is 146626626569. The next prime is 146626626661.

146626626641 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146626626641 - 218 = 146626364497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146626626641.

It is not an unprimeable number, because it can be changed into a prime (146626626661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303446 + ... + 620751.

It is an arithmetic number, because the mean of its divisors is an integer number (19995947928).

Almost surely, 2146626626641 is an apocalyptic number.

146626626641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146626626641 is a deficient number, since it is larger than the sum of its proper divisors (13340956783).

146626626641 is a wasteful number, since it uses less digits than its factorization.

146626626641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938631.

The product of its digits is 2985984, while the sum is 50.

The spelling of 146626626641 in words is "one hundred forty-six billion, six hundred twenty-six million, six hundred twenty-six thousand, six hundred forty-one".

Divisors: 1 11 14423 158653 924197 10166167 13329693331 146626626641