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6064383144 = 2334134917659
BaseRepresentation
bin1011010010111011…
…10010010010101000
3120122122012120202010
411221131302102220
544404440230034
62441432435520
7303165256221
oct55135622250
916578176663
106064383144
1126322058a6
121212b48ba0
1375851bac1
144175ac248
152576043e9
hex1697724a8

6064383144 has 64 divisors (see below), whose sum is σ = 15576120000. Its totient is φ = 1966394880.

The previous prime is 6064383047. The next prime is 6064383151. The reversal of 6064383144 is 4413834606.

It is a happy number.

It is a super-3 number, since 3×60643831443 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334587 + ... + 352245.

It is an arithmetic number, because the mean of its divisors is an integer number (243376875).

Almost surely, 26064383144 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 6064383144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788060000).

6064383144 is an abundant number, since it is smaller than the sum of its proper divisors (9511736856).

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

6064383144 is a wasteful number, since it uses less digits than its factorization.

6064383144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18058 (or 18054 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 6064383144 is about 77874.1493950335. The cubic root of 6064383144 is about 1823.5970346160.

The spelling of 6064383144 in words is "six billion, sixty-four million, three hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 349 492 698 984 1047 1396 2094 2792 4188 8376 14309 17659 28618 35318 42927 52977 57236 70636 85854 105954 114472 141272 171708 211908 343416 423816 724019 1448038 2172057 2896076 4344114 5792152 6162991 8688228 12325982 17376456 18488973 24651964 36977946 49303928 73955892 147911784 252682631 505365262 758047893 1010730524 1516095786 2021461048 3032191572 6064383144