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2682061056 = 283229137293
BaseRepresentation
bin1001111111011101…
…0000000100000000
320220220202211002200
42133313100010000
520443101423211
61122045513200
7123315066663
oct23767200400
96826684080
102682061056
111156a54194
1262a272800
1333987549c
141b62c36da
1510a6deb56
hex9fdd0100

2682061056 has 216 divisors, whose sum is σ = 8085593880. Its totient is φ = 853966848.

The previous prime is 2682061051. The next prime is 2682061079. The reversal of 2682061056 is 6501602862.

It can be written as a sum of positive squares in 4 ways, for example, as 1177862400 + 1504198656 = 34320^2 + 38784^2 .

It is a super-3 number, since 3×26820610563 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 2682061056.

It is not an unprimeable number, because it can be changed into a prime (2682061051) 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 23 ways as a sum of consecutive naturals, for example, 9153646 + ... + 9153938.

It is an arithmetic number, because the mean of its divisors is an integer number (37433305).

Almost surely, 22682061056 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 2682061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042796940).

2682061056 is an abundant number, since it is smaller than the sum of its proper divisors (5403532824).

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

2682061056 is a wasteful number, since it uses less digits than its factorization.

2682061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2682061056 is about 51788.6189813940. The cubic root of 2682061056 is about 1389.3858985281.

The spelling of 2682061056 in words is "two billion, six hundred eighty-two million, sixty-one thousand, fifty-six".