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42008296064 = 27746884259
BaseRepresentation
bin100111000111111000…
…111011101010000000
311000102122000112210012
4213013320323222000
51142013110433224
631144235324052
73015001424240
oct470770735200
9130378015705
1042008296064
11168a7651659
1281845b0628
133c66172a27
1420671c5b20
15115ce8780e
hex9c7e3ba80

42008296064 has 32 divisors (see below), whose sum is σ = 95643890400. Its totient is φ = 18003555072.

The previous prime is 42008296009. The next prime is 42008296073. The reversal of 42008296064 is 46069280024.

42008296064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23441234 + ... + 23443025.

It is an arithmetic number, because the mean of its divisors is an integer number (2988871575).

Almost surely, 242008296064 is an apocalyptic number.

It is an amenable number.

42008296064 is an abundant number, since it is smaller than the sum of its proper divisors (53635594336).

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

42008296064 is an equidigital number, since it uses as much as digits as its factorization.

42008296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46884280 (or 46884268 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 42008296064 in words is "forty-two billion, eight million, two hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 46884259 93768518 187537036 328189813 375074072 656379626 750148144 1312759252 1500296288 2625518504 3000592576 5251037008 6001185152 10502074016 21004148032 42008296064