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6478228746 = 2331110906109
BaseRepresentation
bin1100000100010000…
…11110110100001010
3121201110221010012000
412002020132310022
5101231411304441
62550454531430
7316352015163
oct60210366412
917643833160
106478228746
112824878160
121309666b76
137c319a462
1445653876a
1527db002b6
hex18221ed0a

6478228746 has 32 divisors (see below), whose sum is σ = 15704798400. Its totient is φ = 1963099440.

The previous prime is 6478228703. The next prime is 6478228747.

It is a happy number.

6478228746 is nontrivially palindromic in base 10.

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 = 6478228692 and 6478228701.

It is not an unprimeable number, because it can be changed into a prime (6478228747) 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 15 ways as a sum of consecutive naturals, for example, 5452461 + ... + 5453648.

It is an arithmetic number, because the mean of its divisors is an integer number (490774950).

Almost surely, 26478228746 is an apocalyptic number.

6478228746 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6478228746 is an abundant number, since it is smaller than the sum of its proper divisors (9226569654).

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

6478228746 is a wasteful number, since it uses less digits than its factorization.

6478228746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906131 (or 10906125 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 6478228746 is about 80487.4446482183. Note that the first 3 decimals coincide. The cubic root of 6478228746 is about 1864.1696208703.

It can be divided in two parts, 64782 and 28746, that added together give a triangular number (93528 = T432).

The spelling of 6478228746 in words is "six billion, four hundred seventy-eight million, two hundred twenty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 10906109 21812218 32718327 65436654 98154981 119967199 196309962 239934398 294464943 359901597 588929886 719803194 1079704791 2159409582 3239114373 6478228746