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80277780308058 = 23261212213445301
BaseRepresentation
bin10010010000001100100000…
…100101000010000001011010
3101112020110222112111202012200
4102100030200211002001122
541010232343224324213
6442423034140351030
722623610142563014
oct2220144045020132
9345213875452180
1080277780308058
1123640685167a73
129006456245476
1335a421547b6c8
1415b7672ac91b4
15943321570273
hex49032094205a

80277780308058 has 48 divisors (see below), whose sum is σ = 176794969288392. Its totient is φ = 26319335760000.

The previous prime is 80277780308051. The next prime is 80277780308069. The reversal of 80277780308058 is 85080308777208.

80277780308058 is a `hidden beast` number, since 8 + 0 + 277 + 7 + 8 + 0 + 308 + 0 + 58 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79671208812129 + 606571495929 = 8925873^2 + 778827^2 .

It is a super-3 number, since 3×802777803080583 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 80277780307986 and 80277780308004.

It is not an unprimeable number, because it can be changed into a prime (80277780308051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21578008 + ... + 25023308.

Almost surely, 280277780308058 is an apocalyptic number.

80277780308058 is an abundant number, since it is smaller than the sum of its proper divisors (96517188980334).

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

80277780308058 is a wasteful number, since it uses less digits than its factorization.

80277780308058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466591 (or 3466588 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 80277780308058 in words is "eighty trillion, two hundred seventy-seven billion, seven hundred eighty million, three hundred eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 21221 42442 63663 127326 190989 381978 1294481 2588962 3445301 3883443 6890602 7766886 10335903 11650329 20671806 23300658 31007709 62015418 210163361 420326722 630490083 1260980166 1891470249 3782940498 73112732521 146225465042 219338197563 438676395126 658014592689 1316029185378 4459876683781 8919753367562 13379630051343 26759260102686 40138890154029 80277780308058