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10006741537 = 1323291154047
BaseRepresentation
bin10010101000111001…
…01100001000100001
3221211101110010202221
421110130230020201
5130443211212122
64332543111041
7502655620402
oct112434541041
927741403687
1010006741537
1142755aa031
121b332a2481
13c3620ab50
146acdd99a9
153d87906c7
hex25472c221

10006741537 has 16 divisors (see below), whose sum is σ = 11632803840. Its totient is φ = 8530708032.

The previous prime is 10006741529. The next prime is 10006741541. The reversal of 10006741537 is 73514760001.

It is a cyclic number.

It is not a de Polignac number, because 10006741537 - 23 = 10006741529 is a prime.

It is a super-2 number, since 2×100067415372 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10006741567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568353 + ... + 585694.

It is an arithmetic number, because the mean of its divisors is an integer number (727050240).

Almost surely, 210006741537 is an apocalyptic number.

It is an amenable number.

10006741537 is a deficient number, since it is larger than the sum of its proper divisors (1626062303).

10006741537 is a wasteful number, since it uses less digits than its factorization.

10006741537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154112.

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 10006741537 in words is "ten billion, six million, seven hundred forty-one thousand, five hundred thirty-seven".

Divisors: 1 13 23 29 299 377 667 8671 1154047 15002611 26543081 33467363 345060053 435075719 769749349 10006741537