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6066464144 = 2413174493821
BaseRepresentation
bin1011010011001011…
…01110010110010000
3120122210010022100012
411221211232112100
544411003323034
62441545214052
7303222044246
oct55145562620
916583108305
106066464144
1126333a7334
121213791328
13758a9a070
14417990796
152578b5cce
hex16996e590

6066464144 has 80 divisors (see below), whose sum is σ = 13435858800. Its totient is φ = 2628648960.

The previous prime is 6066464081. The next prime is 6066464149. The reversal of 6066464144 is 4414646606.

It can be written as a sum of positive squares in 8 ways, for example, as 339001744 + 5727462400 = 18412^2 + 75680^2 .

It is not an unprimeable number, because it can be changed into a prime (6066464149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585754 + ... + 1589574.

It is an arithmetic number, because the mean of its divisors is an integer number (167948235).

Almost surely, 26066464144 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 6066464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717929400).

6066464144 is an abundant number, since it is smaller than the sum of its proper divisors (7369394656).

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

6066464144 is a wasteful number, since it uses less digits than its factorization.

6066464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 6066464144 is about 77887.5095506333. The cubic root of 6066464144 is about 1823.8056005628.

The spelling of 6066464144 in words is "six billion, sixty-six million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 449 884 898 1768 1796 3536 3592 3821 5837 7184 7633 7642 11674 15266 15284 23348 30532 30568 46696 49673 61064 61136 64957 93392 99229 99346 122128 129914 198458 198692 259828 396916 397384 519656 793832 794768 844441 1039312 1587664 1688882 1715629 3377764 3431258 6755528 6862516 13511056 13725032 22303177 27450064 29165693 44606354 58331386 89212708 116662772 178425416 233325544 356850832 379154009 466651088 758308018 1516616036 3033232072 6066464144