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325752138009 = 321902492
BaseRepresentation
bin1001011110110000101…
…01110010100100011001
31011010211020010011221100
410233120111302210121
520314120021404014
6405352022502013
732351304326034
oct4573025624431
91133736104840
10325752138009
11116172653791
1253171894909
132494512aaac
1411aa335601b
158718402009
hex4bd8572919

325752138009 has 9 divisors (see below), whose sum is σ = 470533339263. Its totient is φ = 217166950512.

The previous prime is 325752138001. The next prime is 325752138071. The reversal of 325752138009 is 900831257523.

The square root of 325752138009 is 570747.

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., 318776547609 + 6975590400 = 564603^2 + 83520^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 325752138009 - 23 = 325752138001 is a prime.

It is a super-2 number, since 2×3257521380092 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (325752138001) 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 8 ways as a sum of consecutive naturals, for example, 1617117 + ... + 1807365.

Almost surely, 2325752138009 is an apocalyptic number.

325752138009 is the 570747-th square number.

325752138009 is the 285374-th centered octagonal number.

It is an amenable number.

325752138009 is a deficient number, since it is larger than the sum of its proper divisors (144781201254).

325752138009 is an frugal number, since it uses more digits than its factorization.

325752138009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380504 (or 190252 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 325752 and 138009, that added together give a square (463761 = 6812).

The spelling of 325752138009 in words is "three hundred twenty-five billion, seven hundred fifty-two million, one hundred thirty-eight thousand, nine".

Divisors: 1 3 9 190249 570747 1712241 36194682001 108584046003 325752138009