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280053025056 = 25327298357713
BaseRepresentation
bin1000001001101000111…
…01100000100100100000
3222202212101011201012100
410010310131200210200
514042022033300211
6332353220130400
726142655302420
oct4046435404440
9882771151170
10280053025056
11a88516a4842
1246339236a00
132054142b25c
14d7a9d00480
157441419156
hex4134760920

280053025056 has 288 divisors, whose sum is σ = 952918162560. Its totient is φ = 76323889152.

The previous prime is 280053025051. The next prime is 280053025097. The reversal of 280053025056 is 650520350082.

It is a happy number.

280053025056 is a `hidden beast` number, since 28 + 0 + 0 + 530 + 2 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 280053025056.

It is not an unprimeable number, because it can be changed into a prime (280053025051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4823656 + ... + 4881368.

It is an arithmetic number, because the mean of its divisors is an integer number (3308743620).

Almost surely, 2280053025056 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 280053025056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476459081280).

280053025056 is an abundant number, since it is smaller than the sum of its proper divisors (672865137504).

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

280053025056 is a wasteful number, since it uses less digits than its factorization.

280053025056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57848 (or 57837 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 280053025056 in words is "two hundred eighty billion, fifty-three million, twenty-five thousand, fifty-six".