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119248234567056 = 24327271218312
BaseRepresentation
bin11011000111010010100100…
…101010010101010110010000
3120122020000112111111011212100
4123013102210222111112100
5111112230341022121211
61101341514354400400
734055254263350100
oct3307224452252620
9518200474434770
10119248234567056
1134aa598a688681
121145b134590100
1351700a254394a
142163906b9d200
15dbbdc0c2c156
hex6c74a4a95590

119248234567056 has 405 divisors, whose sum is σ = 393975883076139. Its totient is φ = 33572706249600.

The previous prime is 119248234567037. The next prime is 119248234567117. The reversal of 119248234567056 is 650765432842911.

It is a happy number.

The square root of 119248234567056 is 10920084.

It is a perfect power (a square), and thus also a powerful number.

119248234567056 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 48 + 23 + 4 + 567 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 119248234566984 and 119248234567002.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65127380061 + ... + 65127381891.

It is a 1-persistent number, because it is pandigital, but 2⋅119248234567056 = 238496469134112 is not.

Almost surely, 2119248234567056 is an apocalyptic number.

119248234567056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

119248234567056 is the 10920084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119248234567056

119248234567056 is an abundant number, since it is smaller than the sum of its proper divisors (274727648509083).

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

119248234567056 is an frugal number, since it uses more digits than its factorization.

119248234567056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 119248234567056 in words is "one hundred nineteen trillion, two hundred forty-eight billion, two hundred thirty-four million, five hundred sixty-seven thousand, fifty-six".