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6220868864 = 28747233317
BaseRepresentation
bin1011100101100101…
…01110110100000000
3121001112122212210112
411302302232310000
5100220020300424
62505142450452
7310105340630
oct56262566400
917045585715
106220868864
112702577941
121257433a28
13781a7bac2
144302a46c0
1526621560e
hex172caed00

6220868864 has 144 divisors (see below), whose sum is σ = 14601420288. Its totient is φ = 2589966336.

The previous prime is 6220868839. The next prime is 6220868873. The reversal of 6220868864 is 4688680226.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19624034 + ... + 19624350.

It is an arithmetic number, because the mean of its divisors is an integer number (101398752).

Almost surely, 26220868864 is an apocalyptic number.

6220868864 is a gapful number since it is divisible by the number (64) 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 6220868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300710144).

6220868864 is an abundant number, since it is smaller than the sum of its proper divisors (8380551424).

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

6220868864 is a wasteful number, since it uses less digits than its factorization.

6220868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The square root of 6220868864 is about 78872.4848347001. The cubic root of 6220868864 is about 1839.1494241306.

It can be divided in two parts, 62208 and 68864, that added together give a 17-th power (131072 = 217).

The spelling of 6220868864 in words is "six billion, two hundred twenty million, eight hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 233 256 317 329 376 448 466 634 658 752 896 932 1268 1316 1504 1631 1792 1864 2219 2536 2632 3008 3262 3728 4438 5072 5264 6016 6524 7456 8876 10144 10528 10951 12032 13048 14899 14912 17752 20288 21056 21902 26096 29798 29824 35504 40576 42112 43804 52192 59596 59648 71008 73861 76657 81152 84224 87608 104293 104384 119192 142016 147722 153314 175216 208586 208768 238384 284032 295444 306628 350432 417172 417536 476768 517027 568064 590888 613256 700864 834344 953536 1034054 1181776 1226512 1401728 1668688 1907072 2068108 2363552 2453024 2803456 3337376 3471467 3814144 4136216 4727104 4906048 6674752 6942934 8272432 9454208 9812096 13349504 13885868 16544864 18908416 19624192 24300269 26699008 27771736 33089728 48600538 55543472 66179456 97201076 111086944 132358912 194402152 222173888 388804304 444347776 777608608 888695552 1555217216 3110434432 6220868864