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63055227664 = 241121324392
BaseRepresentation
bin111010101110011000…
…100110101100010000
320000202102112110012101
4322232120212230100
52013114114241124
644544524210144
74361365406662
oct725630465420
9200672473171
1063055227664
1124818039900
1210279099954
135c3b70a400
1430a2554532
151990aa5644
hexeae626b10

63055227664 has 135 divisors (see below), whose sum is σ = 145741712949. Its totient is φ = 26396472960.

The previous prime is 63055227659. The next prime is 63055227673. The reversal of 63055227664 is 46672255036.

The square root of 63055227664 is 251108.

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., 9327696400 + 53727531264 = 96580^2 + 231792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143633557 + ... + 143633995.

Almost surely, 263055227664 is an apocalyptic number.

63055227664 is the 251108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63055227664

63055227664 is an abundant number, since it is smaller than the sum of its proper divisors (82686485285).

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

63055227664 is a wasteful number, since it uses less digits than its factorization.

63055227664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 63055227664 in words is "sixty-three billion, fifty-five million, two hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 286 338 439 484 572 676 878 968 1144 1352 1573 1756 1859 1936 2288 2704 3146 3512 3718 4829 5707 6292 7024 7436 9658 11414 12584 14872 19316 20449 22828 25168 29744 38632 40898 45656 53119 62777 74191 77264 81796 91312 106238 125554 148382 163592 192721 212476 251108 296764 327184 385442 424952 502216 593528 690547 770884 816101 849904 1004432 1187056 1381094 1541768 1632202 2119931 2505373 2762188 3083536 3264404 4239862 5010746 5524376 6528808 8479724 8977111 10021492 11048752 13057616 16959448 17954222 20042984 23319241 27559103 32569849 33918896 35908444 40085968 46638482 55118206 65139698 71816888 93276964 110236412 130279396 143633776 186553928 220472824 260558792 303150133 358268339 373107856 440945648 521117584 606300266 716536678 1212600532 1433073356 2425201064 2866146712 3940951729 4850402128 5732293424 7881903458 15763806916 31527613832 63055227664