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277927806468 = 223135693131087
BaseRepresentation
bin1000000101101011100…
…10011100011000000100
3222120101021012102100210
410002311302130120010
514023144004301333
6331402301235420
726036211243024
oct4026562343004
9876337172323
10277927806468
11a7961001644
1245a45562b70
1320293050870
14d64796ba84
157369a6ea63
hex40b5c9c604

277927806468 has 48 divisors (see below), whose sum is σ = 699610302720. Its totient is φ = 85365928704.

The previous prime is 277927806461. The next prime is 277927806493. The reversal of 277927806468 is 864608729772.

277927806468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2779278064682 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 277927806399 and 277927806408.

It is not an unprimeable number, because it can be changed into a prime (277927806461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476780 + ... + 1654307.

It is an arithmetic number, because the mean of its divisors is an integer number (14575214640).

Almost surely, 2277927806468 is an apocalyptic number.

It is an amenable number.

277927806468 is an abundant number, since it is smaller than the sum of its proper divisors (421682496252).

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

277927806468 is a wasteful number, since it uses less digits than its factorization.

277927806468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131676 (or 3131674 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 277927806468 in words is "two hundred seventy-seven billion, nine hundred twenty-seven million, eight hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 569 1138 1707 2276 3414 6828 7397 14794 22191 29588 44382 88764 3131087 6262174 9393261 12524348 18786522 37573044 40704131 81408262 122112393 162816524 244224786 488449572 1781588503 3563177006 5344765509 7126354012 10689531018 21379062036 23160650539 46321301078 69481951617 92642602156 138963903234 277927806468