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6221060064 = 253359122039
BaseRepresentation
bin1011100101100110…
…11101011111100000
3121001120000121002000
411302303131133200
5100220042410224
62505150524000
7310110065232
oct56263353740
917046017060
106221060064
11270269855a
121257506600
13781b17b3b
14430314252
152662520c9
hex172cdd7e0

6221060064 has 96 divisors (see below), whose sum is σ = 18452448000. Its totient is φ = 2038522752.

The previous prime is 6221060059. The next prime is 6221060071. The reversal of 6221060064 is 4600601226.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10044 + ... + 111995.

It is an arithmetic number, because the mean of its divisors is an integer number (192213000).

Almost surely, 26221060064 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 6221060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226224000).

6221060064 is an abundant number, since it is smaller than the sum of its proper divisors (12231387936).

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

6221060064 is a wasteful number, since it uses less digits than its factorization.

6221060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122117 (or 122103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6221060064 is about 78873.6969084117. The cubic root of 6221060064 is about 1839.1682661806.

The spelling of 6221060064 in words is "six billion, two hundred twenty-one million, sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 25488 50976 122039 244078 366117 488156 732234 976312 1098351 1464468 1952624 2196702 2928936 3295053 3905248 4393404 5857872 6590106 7200301 8786808 11715744 13180212 14400602 17573616 21600903 26360424 28801204 35147232 43201806 52720848 57602408 64802709 86403612 105441696 115204816 129605418 172807224 194408127 230409632 259210836 345614448 388816254 518421672 691228896 777632508 1036843344 1555265016 2073686688 3110530032 6221060064