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63788574096 = 243213216192
BaseRepresentation
bin111011011010000110…
…000110010110010000
320002122112110022101100
4323122012012112100
52021114333332341
645145402304400
74415511635142
oct733206062620
9202575408340
1063788574096
1125063a94935
12104427b8100
136027623a00
143131accc92
1519d51633b6
hexeda186590

63788574096 has 135 divisors (see below), whose sum is σ = 193427475969. Its totient is φ = 19615130496.

The previous prime is 63788574079. The next prime is 63788574103. The reversal of 63788574096 is 69047588736.

The square root of 63788574096 is 252564.

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., 9436179600 + 54352394496 = 97140^2 + 233136^2 .

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, 39399175 + ... + 39400793.

Almost surely, 263788574096 is an apocalyptic number.

63788574096 is the 252564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63788574096

63788574096 is an abundant number, since it is smaller than the sum of its proper divisors (129638901873).

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

63788574096 is a wasteful number, since it uses less digits than its factorization.

63788574096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 63788574096 in words is "sixty-three billion, seven hundred eighty-eight million, five hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1619 1872 2028 2704 3042 3238 4056 4857 6084 6476 8112 9714 12168 12952 14571 19428 21047 24336 25904 29142 38856 42094 58284 63141 77712 84188 116568 126282 168376 189423 233136 252564 273611 336752 378846 505128 547222 757692 820833 1010256 1094444 1515384 1641666 2188888 2462499 2621161 3030768 3283332 4377776 4924998 5242322 6566664 7863483 9849996 10484644 13133328 15726966 19699992 20969288 23590449 31453932 34075093 39399984 41938576 47180898 62907864 68150186 94361796 102225279 125815728 136300372 188723592 204450558 272600744 306675837 377447184 408901116 442976209 545201488 613351674 817802232 885952418 1226703348 1328928627 1635604464 1771904836 2453406696 2657857254 3543809672 3986785881 4906813392 5315714508 7087619344 7973571762 10631429016 15947143524 21262858032 31894287048 63788574096