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428086756877 = 13273241143981
BaseRepresentation
bin1100011101010111111…
…01011000011000001101
31111220222002202110012112
412032223331120120031
524003210202210002
6524354344513405
742633250252403
oct6165375303015
91456862673175
10428086756877
111556068a556a
126ab7147b865
13314a3513b00
1416a10497473
15b20759a852
hex63abf5860d

428086756877 has 24 divisors (see below), whose sum is σ = 471852627048. Its totient is φ = 388124006400.

The previous prime is 428086756871. The next prime is 428086756891. The reversal of 428086756877 is 778657680824.

It can be written as a sum of positive squares in 12 ways, for example, as 130735757476 + 297350999401 = 361574^2 + 545299^2 .

It is not a de Polignac number, because 428086756877 - 216 = 428086691341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428086756871) 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, 2901227 + ... + 3045207.

It is an arithmetic number, because the mean of its divisors is an integer number (19660526127).

Almost surely, 2428086756877 is an apocalyptic number.

It is an amenable number.

428086756877 is a deficient number, since it is larger than the sum of its proper divisors (43765870171).

428086756877 is a wasteful number, since it uses less digits than its factorization.

428086756877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144321 (or 144308 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 68.

The spelling of 428086756877 in words is "four hundred twenty-eight billion, eighty-six million, seven hundred fifty-six thousand, eight hundred seventy-seven".

Divisors: 1 13 73 169 241 949 3133 12337 17593 40729 143981 228709 1871753 2973217 10510613 24332789 34699421 136637969 451092473 1776293597 2533057733 5864202149 32929750529 428086756877