Search a number
-
+
6011060064 = 253208130089
BaseRepresentation
bin1011001100100100…
…10111111101100000
3120111220212111020020
411212102113331200
544302312410224
62432245513440
7301650111312
oct54622277540
916456774206
106011060064
1126050a5439
1211b9112880
1374a46bc99
1441048b7b2
15252abec79
hex166497f60

6011060064 has 48 divisors (see below), whose sum is σ = 15787139760. Its totient is φ = 2002657280.

The previous prime is 6011060063. The next prime is 6011060101. The reversal of 6011060064 is 4600601106.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×60110600642 = 72265686186031368192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6011060063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184732 + ... + 214820.

It is an arithmetic number, because the mean of its divisors is an integer number (328898745).

Almost surely, 26011060064 is an apocalyptic number.

It is an amenable number.

6011060064 is an abundant number, since it is smaller than the sum of its proper divisors (9776079696).

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

6011060064 is a wasteful number, since it uses less digits than its factorization.

6011060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32183 (or 32175 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6011060064 is about 77531.0264603791. The cubic root of 6011060064 is about 1818.2364336006.

The spelling of 6011060064 in words is "six billion, eleven million, sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2081 4162 6243 8324 12486 16648 24972 30089 33296 49944 60178 66592 90267 99888 120356 180534 199776 240712 361068 481424 722136 962848 1444272 2888544 62615209 125230418 187845627 250460836 375691254 500921672 751382508 1001843344 1502765016 2003686688 3005530032 6011060064