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63091894761 = 38724432
BaseRepresentation
bin111010110000100100…
…011110100111101001
320000211222112100000000
4322300210132213221
52013203011113021
644552314133213
74362322154100
oct726044364751
9200758470000
1063091894761
1124836803395
1210289421209
135c461a7c0c
1430a737b037
151993de9b26
hexeb091e9e9

63091894761 has 81 divisors (see below), whose sum is σ = 110332381341. Its totient is φ = 35971128648.

The previous prime is 63091894699. The next prime is 63091894769. The reversal of 63091894761 is 16749819036.

The square root of 63091894761 is 251181.

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

63091894761 is a `hidden beast` number, since 6 + 3 + 0 + 91 + 89 + 476 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a de Polignac number, because none of the positive numbers 2k-63091894761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63091894698 and 63091894707.

It is not an unprimeable number, because it can be changed into a prime (63091894769) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 142419406 + ... + 142419848.

Almost surely, 263091894761 is an apocalyptic number.

63091894761 is the 251181-st square number.

63091894761 is the 125591-st centered octagonal number.

It is an amenable number.

63091894761 is a deficient number, since it is larger than the sum of its proper divisors (47240486580).

63091894761 is an frugal number, since it uses more digits than its factorization.

63091894761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 63091894761 in words is "sixty-three billion, ninety-one million, eight hundred ninety-four thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 443 567 729 1323 1329 1701 2187 3101 3969 3987 5103 6561 9303 11907 11961 15309 21707 27909 35721 35883 45927 65121 83727 107163 107649 195363 196249 251181 321489 322947 586089 588747 753543 968841 1373743 1758267 1766241 2260629 2906523 4121229 5274801 5298723 6781887 9616201 12363687 15824403 15896169 20345661 28848603 37091061 47473209 47688507 86545809 111273183 142419627 143065521 259637427 333819549 429196563 778912281 1001458647 1287589689 2336736843 3004375941 7010210529 9013127823 21030631587 63091894761