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2442268000704 = 263722311286731
BaseRepresentation
bin100011100010100010100…
…001000100000111000000
322122110220212010010112110
4203202202201010013000
5310003231102010304
65105543515055320
7341306451324600
oct43424241040700
98573825103473
102442268000704
1186183a686774
123353b2741540
131493c6aa50cc
14862c651cc00
15437e055d289
hex238a28441c0

2442268000704 has 168 divisors, whose sum is σ = 7843646683008. Its totient is φ = 667452065280.

The previous prime is 2442268000649. The next prime is 2442268000721. The reversal of 2442268000704 is 4070008622442.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5426982 + ... + 5859749.

Almost surely, 22442268000704 is an apocalyptic number.

2442268000704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442268000704 is an abundant number, since it is smaller than the sum of its proper divisors (5401378682304).

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

2442268000704 is a wasteful number, since it uses less digits than its factorization.

2442268000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286783 (or 11286766 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 2442268000704 in words is "two trillion, four hundred forty-two billion, two hundred sixty-eight million, seven hundred four", and thus it is an aban number.