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6040042064 = 2471719716103
BaseRepresentation
bin1011010000000001…
…11011101001010000
3120120221101221001122
411220000323221100
544332222321224
62435203021412
7302451340040
oct55000735120
916527357048
106040042064
11261a4a0001
12120696a868
137534787b4
14414273720
152553e715e
hex16803ba50

6040042064 has 80 divisors (see below), whose sum is σ = 14233874688. Its totient is φ = 2423801856.

The previous prime is 6040042039. The next prime is 6040042079. The reversal of 6040042064 is 4602400406.

It is a congruent number.

It is an unprimeable number.

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, 367037 + ... + 383139.

Almost surely, 26040042064 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 6040042064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116937344).

6040042064 is an abundant number, since it is smaller than the sum of its proper divisors (8193832624).

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

6040042064 is a wasteful number, since it uses less digits than its factorization.

6040042064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16332 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 6040042064 is about 77717.7075318103. The cubic root of 6040042064 is about 1821.1539258773.

The spelling of 6040042064 in words is "six billion, forty million, forty-two thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 197 238 272 394 476 788 952 1379 1576 1904 2758 3152 3349 5516 6698 11032 13396 16103 22064 23443 26792 32206 46886 53584 64412 93772 112721 128824 187544 225442 257648 273751 375088 450884 547502 901768 1095004 1803536 1916257 2190008 3172291 3832514 4380016 6344582 7665028 12689164 15330056 22206037 25378328 30660112 44412074 50756656 53928947 88824148 107857894 177648296 215715788 355296592 377502629 431431576 755005258 862863152 1510010516 3020021032 6040042064