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20777274241867 = 11134124979141871
BaseRepresentation
bin1001011100101100101100…
…00011001111001101001011
32201120021202222002010011201
410232112112003033031023
510210403324201214432
6112104540434405031
74243052140043203
oct456262603171513
981507688063151
1020777274241867
116690657713340
1223b6937130777
13b79399c50a40
1451b8a82c1403
152606e7e89ee7
hex12e5960cf34b

20777274241867 has 32 divisors (see below), whose sum is σ = 25006199823360. Its totient is φ = 17009418528000.

The previous prime is 20777274241859. The next prime is 20777274241897. The reversal of 20777274241867 is 76814247277702.

It is a cyclic number.

It is not a de Polignac number, because 20777274241867 - 23 = 20777274241859 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20777274241799 and 20777274241808.

It is not an unprimeable number, because it can be changed into a prime (20777274241897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146380942 + ... + 146522812.

It is an arithmetic number, because the mean of its divisors is an integer number (781443744480).

Almost surely, 220777274241867 is an apocalyptic number.

20777274241867 is a deficient number, since it is larger than the sum of its proper divisors (4228925581493).

20777274241867 is a wasteful number, since it uses less digits than its factorization.

20777274241867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166915.

The product of its (nonzero) digits is 103262208, while the sum is 64.

The spelling of 20777274241867 in words is "twenty trillion, seven hundred seventy-seven billion, two hundred seventy-four million, two hundred forty-one thousand, eight hundred sixty-seven".

Divisors: 1 11 13 41 143 451 533 5863 24979 141871 274769 324727 1024139 1560581 1844323 3571997 5816711 11265529 13313807 20287553 63983821 75617243 146451877 831789673 3543795709 38981752799 46069344217 145295624069 506762786387 1598251864759 1888843112897 20777274241867