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4778422848 = 263367149277
BaseRepresentation
bin1000111001101000…
…01111001001000000
3110100000110000212000
410130310033021000
534241234012343
62110054104000
7226261631643
oct43464171100
913300400760
104778422848
1120323278a1
12b1434b000
135b1c8b354
143348a3a5a
151ce788ed3
hex11cd0f240

4778422848 has 224 divisors, whose sum is σ = 14404848000. Its totient is φ = 1552877568.

The previous prime is 4778422843. The next prime is 4778422871. The reversal of 4778422848 is 8482248774.

It is a super-2 number, since 2×47784228482 = 45666649828576862208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4778422794 and 4778422803.

It is not an unprimeable number, because it can be changed into a prime (4778422843) 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, 17250486 + ... + 17250762.

Almost surely, 24778422848 is an apocalyptic number.

4778422848 is a gapful number since it is divisible by the number (48) 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 4778422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202424000).

4778422848 is an abundant number, since it is smaller than the sum of its proper divisors (9626425152).

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

4778422848 is a wasteful number, since it uses less digits than its factorization.

4778422848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 54.

The square root of 4778422848 is about 69126.1372275350. The cubic root of 4778422848 is about 1684.3339121918. Note that the first 3 decimals are identical.

It can be divided in two parts, 477842 and 2848, that added together give a triangular number (480690 = T980).

The spelling of 4778422848 in words is "four billion, seven hundred seventy-eight million, four hundred twenty-two thousand, eight hundred forty-eight".