Search a number
-
+
5946008064 = 29318712069
BaseRepresentation
bin1011000100110100…
…01110001000000000
3120100101110111122220
411202122032020000
544134134224224
62422003331040
7300230143323
oct54232161000
916311414586
105946008064
112581403957
12119b380a80
13739b43689
144059967ba
1524c020279
hex16268e200

5946008064 has 80 divisors (see below), whose sum is σ = 15856663680. Its totient is φ = 1979985920.

The previous prime is 5946008021. The next prime is 5946008071. The reversal of 5946008064 is 4608006495.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2872822 + ... + 2874890.

It is an arithmetic number, because the mean of its divisors is an integer number (198208296).

Almost surely, 25946008064 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 5946008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928331840).

5946008064 is an abundant number, since it is smaller than the sum of its proper divisors (9910655616).

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

5946008064 is a wasteful number, since it uses less digits than its factorization.

5946008064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 5946008064 is about 77110.3628833375. The cubic root of 5946008064 is about 1811.6536136950.

The spelling of 5946008064 in words is "five billion, nine hundred forty-six million, eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1871 2069 3742 4138 5613 6207 7484 8276 11226 12414 14968 16552 22452 24828 29936 33104 44904 49656 59872 66208 89808 99312 119744 132416 179616 198624 239488 264832 359232 397248 478976 529664 718464 794496 957952 1059328 1436928 1588992 2873856 3177984 3871099 7742198 11613297 15484396 23226594 30968792 46453188 61937584 92906376 123875168 185812752 247750336 371625504 495500672 743251008 991001344 1486502016 1982002688 2973004032 5946008064