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27642129096 = 2337511533629
BaseRepresentation
bin11001101111100110…
…010110101011001000
32122100102112122120010
4121233212112223020
5423102341112341
620410522431520
71665666135441
oct315746265310
978312478503
1027642129096
11107a529679a
1254353625a0
1327b6a3a10a
1414a32342c8
15abbb25716
hex66f996ac8

27642129096 has 32 divisors (see below), whose sum is σ = 69197385600. Its totient is φ = 9201768000.

The previous prime is 27642129079. The next prime is 27642129101. The reversal of 27642129096 is 69092124672.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 748791 + ... + 784838.

It is an arithmetic number, because the mean of its divisors is an integer number (2162418300).

Almost surely, 227642129096 is an apocalyptic number.

It is an amenable number.

27642129096 is an abundant number, since it is smaller than the sum of its proper divisors (41555256504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27642129096 is a wasteful number, since it uses less digits than its factorization.

27642129096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534389 (or 1534385 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 27642129096 in words is "twenty-seven billion, six hundred forty-two million, one hundred twenty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 751 1502 2253 3004 4506 6008 9012 18024 1533629 3067258 4600887 6134516 9201774 12269032 18403548 36807096 1151755379 2303510758 3455266137 4607021516 6910532274 9214043032 13821064548 27642129096