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6484697552 = 2431375359113
BaseRepresentation
bin1100000101000010…
…01010000111010000
3121201221002202201102
412002201022013100
5101240040310202
62551245323532
7316461006524
oct60241120720
917657082642
106484697552
112828496283
12130b8665a8
137c4623958
1445733dd84
1527e47bd02
hex18284a1d0

6484697552 has 160 divisors (see below), whose sum is σ = 13923394560. Its totient is φ = 2918522880.

The previous prime is 6484697519. The next prime is 6484697561. The reversal of 6484697552 is 2557964846.

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 31 ways as a sum of consecutive naturals, for example, 57386648 + ... + 57386760.

It is an arithmetic number, because the mean of its divisors is an integer number (87021216).

Almost surely, 26484697552 is an apocalyptic number.

6484697552 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6484697552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961697280).

6484697552 is an abundant number, since it is smaller than the sum of its proper divisors (7438697008).

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

6484697552 is a wasteful number, since it uses less digits than its factorization.

6484697552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 56.

The square root of 6484697552 is about 80527.6198083614. The cubic root of 6484697552 is about 1864.7899005035.

The spelling of 6484697552 in words is "six billion, four hundred eighty-four million, six hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 37 53 59 62 74 106 113 118 124 148 212 226 236 248 296 424 452 472 496 592 848 904 944 1147 1643 1808 1829 1961 2183 2294 3127 3286 3503 3658 3922 4181 4366 4588 5989 6254 6572 6667 7006 7316 7844 8362 8732 9176 11978 12508 13144 13334 14012 14632 15688 16724 17464 18352 23956 25016 26288 26668 28024 29264 31376 33448 34928 47912 50032 53336 56048 60791 66896 67673 95824 96937 106672 115699 121582 129611 135346 185659 193874 206677 221593 231398 243164 246679 259222 270692 353351 371318 387748 413354 443186 462796 486328 493358 518444 541384 706702 742636 775496 826708 886372 925592 972656 986716 1036888 1082768 1413404 1485272 1550992 1653416 1772744 1851184 1973432 2073776 2826808 2970544 3306832 3545488 3586669 3946864 5653616 6869383 7173338 7647049 10953881 13073987 13738766 14346676 15294098 21907762 26147974 27477532 28693352 30588196 43815524 52295948 54955064 57386704 61176392 87631048 104591896 109910128 122352784 175262096 209183792 405293597 810587194 1621174388 3242348776 6484697552