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56706076845 = 325114110726113
BaseRepresentation
bin110100110011111100…
…100001000010101101
312102100221111011122100
4310303330201002231
51412113223424340
642014520005313
74045141462125
oct646374410255
9172327434570
1056706076845
112205a113920
12aba6900839
1354691c4b32
142a5d219c85
15171d4a0830
hexd33f210ad

56706076845 has 96 divisors (see below), whose sum is σ = 110872105344. Its totient is φ = 26571571200.

The previous prime is 56706076813. The next prime is 56706076891. The reversal of 56706076845 is 54867060765.

56706076845 is a `hidden beast` number, since 567 + 0 + 6 + 0 + 76 + 8 + 4 + 5 = 666.

56706076845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56706076845 - 25 = 56706076813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56706076791 and 56706076800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2158509 + ... + 2184621.

It is an arithmetic number, because the mean of its divisors is an integer number (1154917764).

Almost surely, 256706076845 is an apocalyptic number.

56706076845 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56706076845 is a deficient number, since it is larger than the sum of its proper divisors (54166028499).

56706076845 is a wasteful number, since it uses less digits than its factorization.

56706076845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26283 (or 26280 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 56706076845 in words is "fifty-six billion, seven hundred six million, seventy-six thousand, eight hundred forty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 107 123 165 205 321 369 451 495 535 615 963 1177 1353 1605 1845 2255 3531 4059 4387 4815 5885 6765 10593 13161 17655 20295 21935 26113 39483 48257 52965 65805 78339 130565 144771 197415 235017 241285 287243 391695 434313 723855 861729 1070633 1175085 1436215 2171565 2585187 2794091 3211899 4308645 5353165 8382273 9635697 11776963 12925935 13970455 16059495 25146819 30735001 35330889 41911365 48178485 58884815 92205003 105992667 114557731 125734095 153675005 176654445 276615009 343673193 461025015 529963335 572788655 1031019579 1260135041 1383075045 1718365965 3780405123 5155097895 6300675205 11341215369 18902025615 56706076845