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72352131289 = 3141109522251
BaseRepresentation
bin100001101100010000…
…1011110100011011001
320220202100022002102021
41003120201132203121
52141134121200124
653123233134441
75140644653164
oct1033041364331
9226670262367
1072352131289
112875898a129
12120326ba421
136a90843009
143705174adb
151d36d7d7e4
hex10d885e8d9

72352131289 has 16 divisors (see below), whose sum is σ = 77209735680. Its totient is φ = 67683600000.

The previous prime is 72352131263. The next prime is 72352131323. The reversal of 72352131289 is 98213125327.

It is a cyclic number.

It is not a de Polignac number, because 72352131289 - 233 = 63762196697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72352137289) 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, 122587 + ... + 399664.

It is an arithmetic number, because the mean of its divisors is an integer number (4825608480).

Almost surely, 272352131289 is an apocalyptic number.

It is an amenable number.

72352131289 is a deficient number, since it is larger than the sum of its proper divisors (4857604391).

72352131289 is a wasteful number, since it uses less digits than its factorization.

72352131289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522432.

The product of its digits is 181440, while the sum is 43.

The spelling of 72352131289 in words is "seventy-two billion, three hundred fifty-two million, one hundred thirty-one thousand, two hundred eighty-nine".

Divisors: 1 31 41 109 1271 3379 4469 138539 522251 16189781 21412291 56925359 663781021 1764686129 2333939719 72352131289