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146800008001 = 303703483367
BaseRepresentation
bin1000100010110111110…
…1100101101101000001
3112000220202010002002101
42020231331211231001
54401121300224001
6151234453350401
713414561323343
oct2105575455501
9460822102071
10146800008001
1157291860869
122454b038401
1310ac661447a
1471687a9293
153c42bd3a01
hex222df65b41

146800008001 has 4 divisors (see below), whose sum is σ = 146800795072. Its totient is φ = 146799220932.

The previous prime is 146800007953. The next prime is 146800008023. The reversal of 146800008001 is 100800008641.

146800008001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 146800008001 - 223 = 146791619393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146800008031) 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 in 3 ways as a sum of consecutive naturals, for example, 62020 + ... + 545386.

It is an arithmetic number, because the mean of its divisors is an integer number (36700198768).

Almost surely, 2146800008001 is an apocalyptic number.

It is an amenable number.

146800008001 is a deficient number, since it is larger than the sum of its proper divisors (787071).

146800008001 is an equidigital number, since it uses as much as digits as its factorization.

146800008001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787070.

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 146800008001 in words is "one hundred forty-six billion, eight hundred million, eight thousand, one".

Divisors: 1 303703 483367 146800008001