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2741845805856 = 253222342691919
BaseRepresentation
bin100111111001100010101…
…111101100101100100000
3100201010011221121102211100
4213321202233230230200
5324410300011241411
65455330411114400
7402043331545413
oct47714257545440
910633157542740
102741845805856
119678a0528803
1238347a742a00
1316b72a2c0c81
14969c555db7a
154b4c5b22456
hex27e62becb20

2741845805856 has 72 divisors (see below), whose sum is σ = 7832088875520. Its totient is φ = 909850156416.

The previous prime is 2741845805833. The next prime is 2741845805857. The reversal of 2741845805856 is 6585085481472.

2741845805856 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 8 + 45 + 8 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2741845805793 and 2741845805802.

It is not an unprimeable number, because it can be changed into a prime (2741845805857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21281736 + ... + 21410183.

It is an arithmetic number, because the mean of its divisors is an integer number (108779012160).

Almost surely, 22741845805856 is an apocalyptic number.

It is an amenable number.

2741845805856 is an abundant number, since it is smaller than the sum of its proper divisors (5090243069664).

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

2741845805856 is a wasteful number, since it uses less digits than its factorization.

2741845805856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42692158 (or 42692147 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 2741845805856 in words is "two trillion, seven hundred forty-one billion, eight hundred forty-five million, eight hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 10704 16056 21408 32112 64224 42691919 85383838 128075757 170767676 256151514 341535352 384227271 512303028 683070704 768454542 1024606056 1366141408 1536909084 2049212112 3073818168 4098424224 6147636336 9520297937 12295272672 19040595874 28560893811 38081191748 57121787622 76162383496 85682681433 114243575244 152324766992 171365362866 228487150488 304649533984 342730725732 456974300976 685461451464 913948601952 1370922902928 2741845805856