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145436663201625 = 3253761169877837
BaseRepresentation
bin100001000100011000011100…
…101001011011111101011001
3201001221121110010012122122200
4201010120130221123331121
5123030313241234423000
61233152403011240413
742430311044026005
oct4104303451337531
9631847403178580
10145436663201625
1142382384940134
121438a7242a9109
13631c806a9aa33
1427cb25a1a9705
1511c321c1bc500
hex84461ca5bf59

145436663201625 has 48 divisors (see below), whose sum is σ = 262518338663568. Its totient is φ = 77464293216000.

The previous prime is 145436663201623. The next prime is 145436663201629. The reversal of 145436663201625 is 526102366634541.

It can be written as a sum of positive squares in 8 ways, for example, as 132039679685904 + 13396983515721 = 11490852^2 + 3660189^2 .

It is not a de Polignac number, because 145436663201625 - 21 = 145436663201623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145436663201623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84082794 + ... + 85795043.

It is an arithmetic number, because the mean of its divisors is an integer number (5469132055491).

Almost surely, 2145436663201625 is an apocalyptic number.

145436663201625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145436663201625 is a deficient number, since it is larger than the sum of its proper divisors (117081675461943).

145436663201625 is a wasteful number, since it uses less digits than its factorization.

145436663201625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169878619 (or 169878606 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 145436663201625 in words is "one hundred forty-five trillion, four hundred thirty-six billion, six hundred sixty-three million, two hundred one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 761 1125 2283 3805 6849 11415 19025 34245 57075 95125 171225 285375 856125 169877837 509633511 849389185 1528900533 2548167555 4246945925 7644502665 12740837775 21234729625 38222513325 63704188875 129277033957 191112566625 387831101871 646385169785 1163493305613 1939155509355 3231925848925 5817466528065 9695777546775 16159629244625 29087332640325 48478887733875 145436663201625