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2830946496 = 263719591879
BaseRepresentation
bin1010100010111100…
…1101000011000000
321022021220222112020
42220233031003000
521244210241441
61144525001440
7130103435220
oct25057150300
97267828466
102830946496
111222aa5004
126700b3280
13361673c91
141cbd9c080
151187ede66
hexa8bcd0c0

2830946496 has 224 divisors, whose sum is σ = 9168384000. Its totient is φ = 752882688.

The previous prime is 2830946483. The next prime is 2830946501. The reversal of 2830946496 is 6946490382.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1505685 + ... + 1507563.

Almost surely, 22830946496 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 2830946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584192000).

2830946496 is an abundant number, since it is smaller than the sum of its proper divisors (6337437504).

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

2830946496 is a wasteful number, since it uses less digits than its factorization.

2830946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 2830946496 is about 53206.6395856758. The cubic root of 2830946496 is about 1414.6333329723.

The spelling of 2830946496 in words is "two billion, eight hundred thirty million, nine hundred forty-six thousand, four hundred ninety-six".