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146690384729 = 723257919153
BaseRepresentation
bin1000100010011101101…
…1011010001101011001
3112000122002211122020012
42020213123122031121
54400410214302404
6151215540011305
713412060461100
oct2104733321531
9460562748205
10146690384729
1157235997219
122451a390b35
1310aa99b1725
147157dd1037
153c3827ca6e
hex22276da359

146690384729 has 12 divisors (see below), whose sum is σ = 170692412724. Its totient is φ = 125695874304.

The previous prime is 146690384693. The next prime is 146690384833. The reversal of 146690384729 is 927483096641.

146690384729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 130035966025 + 16654418704 = 360605^2 + 129052^2 .

It is not a de Polignac number, because 146690384729 - 224 = 146673607513 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146690384129) 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 11 ways as a sum of consecutive naturals, for example, 299984 + ... + 619169.

It is an arithmetic number, because the mean of its divisors is an integer number (14224367727).

Almost surely, 2146690384729 is an apocalyptic number.

It is an amenable number.

146690384729 is a deficient number, since it is larger than the sum of its proper divisors (24002027995).

146690384729 is an equidigital number, since it uses as much as digits as its factorization.

146690384729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922424 (or 922417 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 59.

The spelling of 146690384729 in words is "one hundred forty-six billion, six hundred ninety million, three hundred eighty-four thousand, seven hundred twenty-nine".

Divisors: 1 7 49 3257 22799 159593 919153 6434071 45038497 2993681321 20955769247 146690384729