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2763270048 = 2537112316253
BaseRepresentation
bin1010010010110100…
…0010011110100000
321010120120122220010
42210231002132200
521124344120143
61134110244520
7125322256620
oct24455023640
97116518803
102763270048
111198880760
126514b6740
13350639c46
141c2dc2880
151128d1a33
hexa4b427a0

2763270048 has 192 divisors, whose sum is σ = 9437202432. Its totient is φ = 686484480.

The previous prime is 2763270047. The next prime is 2763270061. The reversal of 2763270048 is 8400723672.

It is a super-2 number, since 2×27632700482 = 15271322716347844608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2763269988 and 2763270015.

It is not an unprimeable number, because it can be changed into a prime (2763270043) 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 31 ways as a sum of consecutive naturals, for example, 161890 + ... + 178142.

It is an arithmetic number, because the mean of its divisors is an integer number (49152096).

Almost surely, 22763270048 is an apocalyptic number.

2763270048 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 2763270048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718601216).

2763270048 is an abundant number, since it is smaller than the sum of its proper divisors (6673932384).

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

2763270048 is a wasteful number, since it uses less digits than its factorization.

2763270048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16299 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2763270048 is about 52566.8150832823. The cubic root of 2763270048 is about 1403.2695772922.

The spelling of 2763270048 in words is "two billion, seven hundred sixty-three million, two hundred seventy thousand, forty-eight".