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56533577568 = 25313369712253
BaseRepresentation
bin110100101001101010…
…011110111101100000
312101220220220022010020
4310221222132331200
51411240043440233
641545434433440
74040645323566
oct645152367540
9171826808106
1056533577568
1121a80804636
12ab58b92880
13543c549060
142a44355a36
15170d2799b3
hexd29a9ef60

56533577568 has 96 divisors (see below), whose sum is σ = 159872350176. Its totient is φ = 17388822528.

The previous prime is 56533577567. The next prime is 56533577579. The reversal of 56533577568 is 86577533565.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56533577567) 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 15 ways as a sum of consecutive naturals, for example, 4607730 + ... + 4619982.

It is an arithmetic number, because the mean of its divisors is an integer number (1665336981).

Almost surely, 256533577568 is an apocalyptic number.

It is an amenable number.

56533577568 is an abundant number, since it is smaller than the sum of its proper divisors (103338772608).

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

56533577568 is a wasteful number, since it uses less digits than its factorization.

56533577568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976 (or 15968 counting only the distinct ones).

The product of its digits is 79380000, while the sum is 60.

The spelling of 56533577568 in words is "fifty-six billion, five hundred thirty-three million, five hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3697 7394 11091 12253 14788 22182 24506 29576 36759 44364 48061 49012 59152 73518 88728 96122 98024 118304 144183 147036 159289 177456 192244 196048 288366 294072 318578 354912 384488 392096 477867 576732 588144 637156 768976 955734 1153464 1176288 1274312 1537952 1911468 2306928 2548624 3822936 4613856 5097248 7645872 15291744 45299341 90598682 135898023 181197364 271796046 362394728 543592092 588891433 724789456 1087184184 1177782866 1449578912 1766674299 2174368368 2355565732 3533348598 4348736736 4711131464 7066697196 9422262928 14133394392 18844525856 28266788784 56533577568