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270463149320 = 235713316139293
BaseRepresentation
bin1111101111100011011…
…1000010010100001000
3221212010001010112210112
43323320313002110020
513412402031234240
6324125443533452
725353220560140
oct3737067022410
9855101115715
10270463149320
11a4780440201
124450168a288
131c6736b8680
14d13a419920
15707e56e665
hex3ef8dc2508

270463149320 has 256 divisors, whose sum is σ = 785829703680. Its totient is φ = 81475891200.

The previous prime is 270463149287. The next prime is 270463149361. The reversal of 270463149320 is 23941364072.

270463149320 is digitally balanced in base 2, because in such base 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 63 ways as a sum of consecutive naturals, for example, 6863594 + ... + 6902886.

It is an arithmetic number, because the mean of its divisors is an integer number (3069647280).

Almost surely, 2270463149320 is an apocalyptic number.

270463149320 is a gapful number since it is divisible by the number (20) 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 270463149320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392914851840).

270463149320 is an abundant number, since it is smaller than the sum of its proper divisors (515366554360).

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

270463149320 is a wasteful number, since it uses less digits than its factorization.

270463149320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39416 (or 39412 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 270463149320 in words is "two hundred seventy billion, four hundred sixty-three million, one hundred forty-nine thousand, three hundred twenty".