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63392743345936 = 2423237223392
BaseRepresentation
bin11100110100111110001011…
…11100101100111100010000
322022110021202021112221102211
432122133011330230330100
531302111314244032221
6342454120234521504
716231655163516634
oct1632370574547420
9268407667487384
1063392743345936
1119220790a78614
127139b31596294
13294abaa4b1484
141192321b46dc4
1574decdaca6e1
hex39a7c5f2cf10

63392743345936 has 135 divisors (see below), whose sum is σ = 132016155445461. Its totient is φ = 29486244154752.

The previous prime is 63392743345889. The next prime is 63392743345961. The reversal of 63392743345936 is 63954334729336.

The square root of 63392743345936 is 7961956.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56724697296400 + 6668046049536 = 7531580^2 + 2582256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27102497055 + ... + 27102499393.

Almost surely, 263392743345936 is an apocalyptic number.

63392743345936 is the 7961956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63392743345936

63392743345936 is an abundant number, since it is smaller than the sum of its proper divisors (68623412099525).

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

63392743345936 is an frugal number, since it uses more digits than its factorization.

63392743345936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 2401 counting only the distinct ones).

The product of its digits is 793618560, while the sum is 67.

The spelling of 63392743345936 in words is "sixty-three trillion, three hundred ninety-two billion, seven hundred forty-three million, three hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 529 592 851 1058 1369 1702 2116 2339 2738 3404 4232 4678 5476 6808 8464 9356 10952 13616 18712 19573 21904 31487 37424 39146 53797 62974 78292 86543 107594 125948 156584 173086 215188 251896 313168 346172 430376 503792 692344 724201 860752 1237331 1384688 1448402 1990489 2474662 2896804 3202091 3980978 4949324 5470921 5793608 6404182 7961956 9898648 10941842 11587216 12808364 15923912 19797296 21883684 25616728 31847824 43767368 45781247 51233456 73648093 87534736 91562494 125831183 147296186 183124988 202424077 251662366 294592372 366249976 404848154 503324732 589184744 732499952 809696308 1006649464 1178369488 1619392616 1693906139 2013298928 2894117209 3238785232 3387812278 4655753771 5788234418 6775624556 7489690849 9311507542 11576468836 13551249112 14979381698 18623015084 23152937672 27102498224 29958763396 37246030168 46305875344 59917526792 74492060336 107082336733 119835053584 172262889527 214164673466 344525779054 428329346932 689051558108 856658693864 1378103116216 1713317387728 2756206232432 3962046459121 7924092918242 15848185836484 31696371672968 63392743345936