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14642829657 = 3217157960611
BaseRepresentation
bin11011010001100011…
…11101100101011001
31101210111001211002100
431220301331211121
5214442031022112
610420554354013
71025601666321
oct155061754531
941714054070
1014642829657
11623454a715
122a07a2b909
1314c4852261
149cca0c281
155aa7b12dc
hex368c7d959

14642829657 has 24 divisors (see below), whose sum is σ = 22409468640. Its totient is φ = 9181687680.

The previous prime is 14642829637. The next prime is 14642829701. The reversal of 14642829657 is 75692824641.

14642829657 is a `hidden beast` number, since 146 + 428 + 29 + 6 + 57 = 666.

It is not a de Polignac number, because 14642829657 - 28 = 14642829401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14642829637) 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 23 ways as a sum of consecutive naturals, for example, 211282 + ... + 271892.

It is an arithmetic number, because the mean of its divisors is an integer number (933727860).

Almost surely, 214642829657 is an apocalyptic number.

14642829657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14642829657 is a deficient number, since it is larger than the sum of its proper divisors (7766638983).

14642829657 is a wasteful number, since it uses less digits than its factorization.

14642829657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62213 (or 62210 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 14642829657 in words is "fourteen billion, six hundred forty-two million, eight hundred twenty-nine thousand, six hundred fifty-seven".

Divisors: 1 3 9 17 51 153 1579 4737 14211 26843 60611 80529 181833 241587 545499 1030387 3091161 9273483 95704769 287114307 861342921 1626981073 4880943219 14642829657