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13742365064 = 233746426909
BaseRepresentation
bin11001100110001101…
…11101100110001000
31022110201200110212212
430303012331212020
5211121021140224
610151350324252
7664356114161
oct146306754610
938421613785
1013742365064
1159122302aa
1227b6359688
1313b012527c
149451b0768
155566e1d0e
hex3331bd988

13742365064 has 16 divisors (see below), whose sum is σ = 26463338700. Its totient is φ = 6685474752.

The previous prime is 13742365061. The next prime is 13742365081. The reversal of 13742365064 is 46056324731.

13742365064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11828302564 + 1914062500 = 108758^2 + 43750^2 .

It is not an unprimeable number, because it can be changed into a prime (13742365061) 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 3 ways as a sum of consecutive naturals, for example, 23213159 + ... + 23213750.

Almost surely, 213742365064 is an apocalyptic number.

It is an amenable number.

13742365064 is a deficient number, since it is larger than the sum of its proper divisors (12720973636).

13742365064 is a wasteful number, since it uses less digits than its factorization.

13742365064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46426952 (or 46426948 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

Adding to 13742365064 its reverse (46056324731), we get a palindrome (59798689795).

The spelling of 13742365064 in words is "thirteen billion, seven hundred forty-two million, three hundred sixty-five thousand, sixty-four".

Divisors: 1 2 4 8 37 74 148 296 46426909 92853818 185707636 371415272 1717795633 3435591266 6871182532 13742365064