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2676121056 = 2532759149151
BaseRepresentation
bin1001111110000010…
…0101110111100000
320220111121000221200
42133200211313200
520440041333211
61121314321200
7123213440130
oct23740456740
96814530850
102676121056
1111536673a4
12628289200
133385758ab
141b55b8ac0
15109e19b56
hex9f825de0

2676121056 has 288 divisors, whose sum is σ = 8963136000. Its totient is φ = 741657600.

The previous prime is 2676121051. The next prime is 2676121081. The reversal of 2676121056 is 6501216762.

It is a happy number.

2676121056 is a `hidden beast` number, since 26 + 7 + 612 + 10 + 5 + 6 = 666.

2676121056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 2676121056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676121051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17722581 + ... + 17722731.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 22676121056 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 2676121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

2676121056 is an abundant number, since it is smaller than the sum of its proper divisors (6287014944).

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

2676121056 is a wasteful number, since it uses less digits than its factorization.

2676121056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2676121056 is about 51731.2386861169. The cubic root of 2676121056 is about 1388.3594426027.

The spelling of 2676121056 in words is "two billion, six hundred seventy-six million, one hundred twenty-one thousand, fifty-six".