Search a number
-
+
63648273248 = 2572534311777
BaseRepresentation
bin111011010001101110…
…111001001101100000
320002021202110021210122
4323101232321031200
52020322424220443
645123431215412
74412156252600
oct732156711540
9202252407718
1063648273248
1124aa187781a
1210403817568
13600453c761
14311b20ac00
1519c7b9c968
hexed1bb9360

63648273248 has 144 divisors (see below), whose sum is σ = 148944567744. Its totient is φ = 26686033920.

The previous prime is 63648273239. The next prime is 63648273251. The reversal of 63648273248 is 84237284636.

It is a super-2 number, since 2×636482732482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 63648273248.

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 23 ways as a sum of consecutive naturals, for example, 35816936 + ... + 35818712.

It is an arithmetic number, because the mean of its divisors is an integer number (1034337276).

Almost surely, 263648273248 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 63648273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74472283872).

63648273248 is an abundant number, since it is smaller than the sum of its proper divisors (85296294496).

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

63648273248 is a wasteful number, since it uses less digits than its factorization.

63648273248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2270 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 53.

The spelling of 63648273248 in words is "sixty-three billion, six hundred forty-eight million, two hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 98 106 112 196 212 224 371 392 424 431 742 784 848 862 1484 1568 1696 1724 1777 2597 2968 3017 3448 3554 5194 5936 6034 6896 7108 10388 11872 12068 12439 13792 14216 20776 21119 22843 24136 24878 28432 41552 42238 45686 48272 49756 56864 83104 84476 87073 91372 94181 96544 99512 159901 168952 174146 182744 188362 199024 319802 337904 348292 365488 376724 398048 639604 659267 675808 696584 730976 753448 765887 1119307 1279208 1318534 1393168 1506896 1531774 2238614 2558416 2637068 2786336 3013792 3063548 4477228 4614869 5116832 5274136 5361209 6127096 8954456 9229738 10548272 10722418 12254192 17908912 18459476 21096544 21444836 24508384 35817824 36918952 37528463 40592011 42889672 73837904 75056926 81184022 85779344 147675808 150113852 162368044 171558688 284144077 300227704 324736088 568288154 600455408 649472176 1136576308 1200910816 1298944352 1989008539 2273152616 3978017078 4546305232 7956034156 9092610464 15912068312 31824136624 63648273248