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6242240664 = 23321123342679
BaseRepresentation
bin1011101000001000…
…10000100010011000
3121010000212200101200
411310010100202120
5100241003200124
62511224514200
7310455112242
oct56404204230
917100780350
106242240664
112713644890
12126261b960
1378632273a
14433069092
15268037bc9
hex174110898

6242240664 has 96 divisors (see below), whose sum is σ = 19244908800. Its totient is φ = 1809339840.

The previous prime is 6242240647. The next prime is 6242240671. The reversal of 6242240664 is 4660422426.

6242240664 is a `hidden beast` number, since 6 + 242 + 2 + 406 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 153124 + ... + 189555.

It is an arithmetic number, because the mean of its divisors is an integer number (200467800).

Almost surely, 26242240664 is an apocalyptic number.

It is an amenable number.

6242240664 is an abundant number, since it is smaller than the sum of its proper divisors (13002668136).

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

6242240664 is a wasteful number, since it uses less digits than its factorization.

6242240664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342725 (or 342718 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 6242240664 is about 79007.8519135915. The cubic root of 6242240664 is about 1841.2531499594.

The spelling of 6242240664 in words is "six billion, two hundred forty-two million, two hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 6072 9108 18216 342679 685358 1028037 1370716 2056074 2741432 3084111 3769469 4112148 6168222 7538938 7881617 8224296 11308407 12336444 15077876 15763234 22616814 23644851 24672888 30155752 31526468 33925221 45233628 47289702 63052936 67850442 70934553 86697787 90467256 94579404 135700884 141869106 173395574 189158808 260093361 271401768 283738212 346791148 520186722 567476424 693582296 780280083 1040373444 1560560166 2080746888 3121120332 6242240664