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1348422598656 = 2223872
BaseRepresentation
bin10011100111110100010…
…000000000000000000000
311202220111220000100000000
4103213310100000000000
5134043032141124111
62511242400000000
7166264111655400
oct23476420000000
94686456010000
101348422598656
1147a954449271
12199400000000
139a204114593
144939a5c8800
1525120081c56
hex139f4400000

1348422598656 has 621 divisors, whose sum is σ = 4705480044759. Its totient is φ = 385263599616.

The previous prime is 1348422598573. The next prime is 1348422598667. The reversal of 1348422598656 is 6568952248431.

The square root of 1348422598656 is 1161216.

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

1348422598656 is a `hidden beast` number, since 1 + 3 + 484 + 2 + 2 + 5 + 98 + 65 + 6 = 666.

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

Its product of digits (99532800) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 1348422598593 and 1348422598602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192631799805 + ... + 192631799811.

Almost surely, 21348422598656 is an apocalyptic number.

1348422598656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1348422598656 is the 1161216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348422598656

1348422598656 is an abundant number, since it is smaller than the sum of its proper divisors (3357057446103).

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

1348422598656 is an frugal number, since it uses more digits than its factorization.

1348422598656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 12 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 1348422598656 in words is "one trillion, three hundred forty-eight billion, four hundred twenty-two million, five hundred ninety-eight thousand, six hundred fifty-six".