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2777428120852 = 2272112176888941
BaseRepresentation
bin101000011010101011100…
…111011101010100010100
3100211112000202000022202201
4220122223213131110110
5331001133044331402
65523533255414244
7404443154333200
oct50325347352424
910745022008681
102777428120852
1198099a848700
1238a34b084384
13171bab05aa28
14985dd12bb00
154c3a987a687
hex286ab9dd514

2777428120852 has 108 divisors (see below), whose sum is σ = 6580358732052. Its totient is φ = 1018460889600.

The previous prime is 2777428120787. The next prime is 2777428120853. The reversal of 2777428120852 is 2580218247772.

2777428120852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2190678248836 + 586749872016 = 1480094^2 + 765996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2777428120793 and 2777428120802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777428120853) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3041299 + ... + 3847642.

It is an arithmetic number, because the mean of its divisors is an integer number (60929247519).

Almost surely, 22777428120852 is an apocalyptic number.

2777428120852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2777428120852 is an abundant number, since it is smaller than the sum of its proper divisors (3802930611200).

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

2777428120852 is a wasteful number, since it uses less digits than its factorization.

2777428120852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888998 (or 6888978 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 55.

The spelling of 2777428120852 in words is "two trillion, seven hundred seventy-seven billion, four hundred twenty-eight million, one hundred twenty thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 121 154 187 196 238 242 308 374 476 484 539 748 833 847 1078 1309 1666 1694 2057 2156 2618 3332 3388 4114 5236 5929 8228 9163 11858 14399 18326 23716 28798 36652 57596 100793 201586 403172 6888941 13777882 27555764 48222587 75778351 96445174 117111997 151556702 192890348 234223994 303113404 337558109 468447988 530448457 675116218 819783979 833561861 1060896914 1288231967 1350232436 1639567958 1667123722 2121793828 2576463934 3279135916 3334247444 3713139199 5152927868 5738487853 5834933027 7426278398 9017623769 11476975706 11669866054 14170551637 14852556796 18035247538 22953951412 23339732108 28341103274 36070495076 40844531189 56682206548 63123366383 81689062378 99193861459 126246732766 163378124756 198387722918 252493465532 396775445836 694357030213 1388714060426 2777428120852