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2733450048 = 2632719311151
BaseRepresentation
bin1010001011101101…
…0010001101000000
321001111110122112200
42202323102031000
521044230400143
61131123153200
7124510641060
oct24273221500
97044418480
102733450048
111182a6352a
12643515800
133473c8b84
141bd05d3a0
1510ee911d3
hexa2ed2340

2733450048 has 336 divisors, whose sum is σ = 9737994240. Its totient is φ = 715392000.

The previous prime is 2733450001. The next prime is 2733450103. The reversal of 2733450048 is 8400543372.

It is a happy number.

2733450048 is a `hidden beast` number, since 273 + 345 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×27334500482 = 14943498329822404608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2733449994 and 2733450021.

It is a congruent number.

It is an unprimeable number.

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, 2374273 + ... + 2375423.

Almost surely, 22733450048 is an apocalyptic number.

2733450048 is a gapful number since it is divisible by the number (28) 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 2733450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868997120).

2733450048 is an abundant number, since it is smaller than the sum of its proper divisors (7004544192).

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

2733450048 is a wasteful number, since it uses less digits than its factorization.

2733450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2733450048 is about 52282.4066775813. The cubic root of 2733450048 is about 1398.2034861322.

The spelling of 2733450048 in words is "two billion, seven hundred thirty-three million, four hundred fifty thousand, forty-eight".