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2000146729 = 7263892
BaseRepresentation
bin111011100110111…
…1101000100101001
312011101121222111111
41313031331010221
513044014143404
6530250030321
7100364652400
oct16715750451
95141558444
102000146729
11937037929
12479a183a1
1325b4c9099
1414d8d6637
15ba8e1104
hex7737d129

2000146729 has 9 divisors (see below), whose sum is σ = 2327065527. Its totient is φ = 1714143144.

The previous prime is 2000146721. The next prime is 2000146801. The reversal of 2000146729 is 9276410002.

The square root of 2000146729 is 44723.

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., 5631129 + 1994515600 = 2373^2 + 44660^2 .

It is not a de Polignac number, because 2000146729 - 23 = 2000146721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000146729.

It is not an unprimeable number, because it can be changed into a prime (2000146721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 309867 + ... + 316255.

Almost surely, 22000146729 is an apocalyptic number.

2000146729 is the 44723-rd square number.

2000146729 is the 22362-nd centered octagonal number.

It is an amenable number.

2000146729 is a deficient number, since it is larger than the sum of its proper divisors (326918798).

2000146729 is an frugal number, since it uses more digits than its factorization.

2000146729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12792 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 2000146729 is about 1259.9518603007.

The spelling of 2000146729 in words is "two billion, one hundred forty-six thousand, seven hundred twenty-nine".

Divisors: 1 7 49 6389 44723 313061 40819321 285735247 2000146729