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2076755704704 = 27334431356463
BaseRepresentation
bin11110001110001000010…
…010010011101110000000
321100112110200020122111000
4132032020102103232000
5233011143430022304
64230014242052000
7303016641141552
oct36161022235600
97315420218430
102076755704704
117308244aa88a
122965a534a000
13120ab64bba15
14727307cd4d2
153904b74d939
hex1e388493b80

2076755704704 has 128 divisors (see below), whose sum is σ = 6143154163200. Its totient is φ = 690688747008.

The previous prime is 2076755704663. The next prime is 2076755704721. The reversal of 2076755704704 is 4074075576702.

2076755704704 is a `hidden beast` number, since 2 + 0 + 7 + 67 + 5 + 570 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852777 + ... + 2209239.

It is an arithmetic number, because the mean of its divisors is an integer number (47993391900).

Almost surely, 22076755704704 is an apocalyptic number.

2076755704704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076755704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071577081600).

2076755704704 is an abundant number, since it is smaller than the sum of its proper divisors (4066398458496).

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

2076755704704 is a wasteful number, since it uses less digits than its factorization.

2076755704704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356929 (or 1356911 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 54.

The spelling of 2076755704704 in words is "two trillion, seventy-six billion, seven hundred fifty-five million, seven hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 443 576 864 886 1152 1329 1728 1772 2658 3456 3544 3987 5316 7088 7974 10632 11961 14176 15948 21264 23922 28352 31896 42528 47844 56704 63792 85056 95688 127584 170112 191376 255168 382752 510336 765504 1356463 1531008 2712926 4069389 5425852 8138778 10851704 12208167 16277556 21703408 24416334 32555112 36624501 43406816 48832668 65110224 73249002 86813632 97665336 130220448 146498004 173627264 195330672 260440896 292996008 390661344 520881792 585992016 600913109 781322688 1171984032 1201826218 1562645376 1802739327 2343968064 2403652436 3605478654 4687936128 4807304872 5408217981 7210957308 9614609744 10816435962 14421914616 16224653943 19229219488 21632871924 28843829232 32449307886 38458438976 43265743848 57687658464 64898615772 76916877952 86531487696 115375316928 129797231544 173062975392 230750633856 259594463088 346125950784 519188926176 692251901568 1038377852352 2076755704704