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63764330256 = 243211219132
BaseRepresentation
bin111011011000101001…
…100111011100010000
320002120211211121002100
4323120221213130100
52021042132032011
645143134520400
74415065602324
oct733051473420
9202524747070
1063764330256
1125051336100
1210436666100
1360225b5a43
14312c7bb984
1519d2e74d56
hexed8a67710

63764330256 has 135 divisors (see below), whose sum is σ = 196251827317. Its totient is φ = 19312423680.

The previous prime is 63764330237. The next prime is 63764330291. The reversal of 63764330256 is 65203346736.

The square root of 63764330256 is 252516.

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

63764330256 is a `hidden beast` number, since 6 + 3 + 7 + 64 + 330 + 256 = 666.

63764330256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55516784400 + 8247545856 = 235620^2 + 90816^2 .

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, 33331156 + ... + 33333068.

Almost surely, 263764330256 is an apocalyptic number.

63764330256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

63764330256 is the 252516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63764330256

63764330256 is an abundant number, since it is smaller than the sum of its proper divisors (132487497061).

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

63764330256 is a wasteful number, since it uses less digits than its factorization.

63764330256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 63764330256 in words is "sixty-three billion, seven hundred sixty-four million, three hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1913 1936 2178 2904 3826 4356 5739 5808 7652 8712 11478 15304 17217 17424 21043 22956 30608 34434 42086 45912 63129 68868 84172 91824 126258 137736 168344 189387 231473 252516 275472 336688 378774 462946 505032 694419 757548 925892 1010064 1388838 1515096 1851784 2083257 2777676 3030192 3659569 3703568 4166514 5555352 7319138 8333028 10978707 11110704 14638276 16666056 21957414 29276552 32936121 33332112 40255259 43914828 58553104 65872242 80510518 87829656 120765777 131744484 161021036 175659312 241531554 263488968 322042072 362297331 442807849 483063108 526977936 644084144 724594662 885615698 966126216 1328423547 1449189324 1771231396 1932252432 2656847094 2898378648 3542462792 3985270641 5313694188 5796757296 7084925584 7970541282 10627388376 15941082564 21254776752 31882165128 63764330256