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270223049448 = 2332114746315679
BaseRepresentation
bin1111101110101010001…
…1001000001011101000
3221211111022100012200200
43323222203020023220
513411404100040243
6324045545432200
725344244010412
oct3735243101350
9854438305620
10270223049448
11a4667959660
124445519b660
131c635a31241
14d1165999b2
157068443ad3
hex3eea8c82e8

270223049448 has 192 divisors, whose sum is σ = 817186406400. Its totient is φ = 79965325440.

The previous prime is 270223049419. The next prime is 270223049479. The reversal of 270223049448 is 844940322072.

It is a happy number.

270223049448 is a `hidden beast` number, since 2 + 70 + 22 + 30 + 494 + 48 = 666.

270223049448 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17226873 + ... + 17242551.

It is an arithmetic number, because the mean of its divisors is an integer number (4256179200).

Almost surely, 2270223049448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270223049448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408593203200).

270223049448 is an abundant number, since it is smaller than the sum of its proper divisors (546963356952).

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

270223049448 is a wasteful number, since it uses less digits than its factorization.

270223049448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212 (or 16205 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 270223049448 in words is "two hundred seventy billion, two hundred twenty-three million, forty-nine thousand, four hundred forty-eight".