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190271245664448 = 2632132331227315679
BaseRepresentation
bin101011010000110011111010…
…000000100100000011000000
3220221200202100020222020111100
4223100303322000210003000
5144414401002342230243
61512401223100214400
755035433562021514
oct5320637200440300
9827622306866440
10190271245664448
11556986448a8753
121940ba1323a400
13822266998c530
1434db26ac08144
1516ee5d223c0d3
hexad0cfa0240c0

190271245664448 has 672 divisors, whose sum is σ = 632955018608640. Its totient is φ = 54165829386240.

The previous prime is 190271245664447. The next prime is 190271245664473. The reversal of 190271245664448 is 844466542172091.

It is a happy number.

190271245664448 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 7 + 1 + 24 + 566 + 4 + 4 + 48 = 666.

It is a super-2 number, since 2×1902712456644482 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190271245664447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12135411873 + ... + 12135427551.

It is an arithmetic number, because the mean of its divisors is an integer number (941897349120).

Almost surely, 2190271245664448 is an apocalyptic number.

190271245664448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190271245664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316477509304320).

190271245664448 is an abundant number, since it is smaller than the sum of its proper divisors (442683772944192).

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

190271245664448 is a wasteful number, since it uses less digits than its factorization.

190271245664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18037 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 190271245664448 in words is "one hundred ninety trillion, two hundred seventy-one billion, two hundred forty-five million, six hundred sixty-four thousand, four hundred forty-eight".