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148823893729 = 7478732
BaseRepresentation
bin1000101010011010011…
…0000110011011100001
3112020010210102010101001
42022212212012123201
54414242404044404
6152211352312001
713515665140000
oct2124646063341
9466123363331
10148823893729
11581302320a5
1224a149a2601
1311059a027a4
1472bb4c0c37
153d107137a4
hex22a69866e1

148823893729 has 15 divisors (see below), whose sum is σ = 173639600403. Its totient is φ = 127547134848.

The previous prime is 148823893703. The next prime is 148823893753. The reversal of 148823893729 is 927398328841.

It is a happy number.

The square root of 148823893729 is 385777.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4539390625 + 144284503104 = 67375^2 + 379848^2 .

It is not a de Polignac number, because 148823893729 - 211 = 148823891681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148823893759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18899137 + ... + 18907009.

Almost surely, 2148823893729 is an apocalyptic number.

148823893729 is the 385777-th square number.

148823893729 is the 192889-th centered octagonal number.

It is an amenable number.

148823893729 is a deficient number, since it is larger than the sum of its proper divisors (24815706674).

148823893729 is an frugal number, since it uses more digits than its factorization.

148823893729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15774 (or 7880 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 64.

Multiplying 148823893729 by its sum of digits (64), we get a square (9524729198656 = 30862162).

The spelling of 148823893729 in words is "one hundred forty-eight billion, eight hundred twenty-three million, eight hundred ninety-three thousand, seven hundred twenty-nine".

Divisors: 1 7 49 343 2401 7873 55111 385777 2700439 18903073 61984129 433888903 3037222321 21260556247 148823893729