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429050072148 = 223314663247343
BaseRepresentation
bin1100011111001010110…
…00001000110001010100
31112000110020101221022220
412033211120020301110
524012143304302043
6525034120022340
742666155303625
oct6174530106124
91460406357286
10429050072148
11155a60642595
126b1a00019b0
13315c7c78449
1416aa23b5a4c
15b261e32483
hex63e5608c54

429050072148 has 48 divisors (see below), whose sum is σ = 1033636724736. Its totient is φ = 138373008480.

The previous prime is 429050072147. The next prime is 429050072161. The reversal of 429050072148 is 841270050924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429050072141) 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 15 ways as a sum of consecutive naturals, for example, 1610965 + ... + 1858307.

It is an arithmetic number, because the mean of its divisors is an integer number (21534098432).

Almost surely, 2429050072148 is an apocalyptic number.

It is an amenable number.

429050072148 is an abundant number, since it is smaller than the sum of its proper divisors (604586652588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429050072148 is a wasteful number, since it uses less digits than its factorization.

429050072148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252044 (or 252042 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 429050072148 in words is "four hundred twenty-nine billion, fifty million, seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 4663 9326 13989 18652 27978 55956 144553 247343 289106 433659 494686 578212 742029 867318 989372 1484058 1734636 2968116 7667633 15335266 23002899 30670532 46005798 92011596 1153360409 2306720818 3460081227 4613441636 6920162454 13840324908 35754172679 71508345358 107262518037 143016690716 214525036074 429050072148