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32508450601 = 1123724432
BaseRepresentation
bin11110010001101001…
…111001011100101001
310002220120101101200221
4132101221321130221
51013034130404401
622533440530041
72230406161624
oct362151713451
9102816341627
1032508450601
111287219a100
126373020921
1330b0c92ab3
141805658dbb
15ca3e737a1
hex791a79729

32508450601 has 27 divisors (see below), whose sum is σ = 36807357783. Its totient is φ = 28689495120.

The previous prime is 32508450589. The next prime is 32508450641. The reversal of 32508450601 is 10605480523.

The square root of 32508450601 is 180301.

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., 29089008025 + 3419442576 = 170555^2 + 58476^2 .

It is a de Polignac number, because none of the positive numbers 2k-32508450601 is a prime.

It is a super-2 number, since 2×325084506012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32508450641) 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 26 ways as a sum of consecutive naturals, for example, 73382286 + ... + 73382728.

Almost surely, 232508450601 is an apocalyptic number.

32508450601 is the 180301-st square number.

32508450601 is the 90151-st centered octagonal number.

It is an amenable number.

32508450601 is a deficient number, since it is larger than the sum of its proper divisors (4298907182).

32508450601 is an frugal number, since it uses more digits than its factorization.

32508450601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 32508450601 in words is "thirty-two billion, five hundred eight million, four hundred fifty thousand, six hundred one".

Divisors: 1 11 37 121 407 443 1369 4477 4873 15059 16391 53603 165649 180301 196249 606467 1983311 2158739 6671137 7261213 23746129 73382507 79873343 268664881 878606773 2955313691 32508450601