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2726496483712 = 27291049700199
BaseRepresentation
bin100111101011001111110…
…110101011100110000000
3100122122120020011002020121
4213223033312223212000
5324132331044434322
65444311333550024
7400661060504161
oct47531766534600
910578506132217
102726496483712
11961334204901
123804b61a5314
1316a152298431
1495d6aba7768
154adc8309ec7
hex27acfdab980

2726496483712 has 64 divisors (see below), whose sum is σ = 5624356500000. Its totient is φ = 1314983047168.

The previous prime is 2726496483707. The next prime is 2726496483721. The reversal of 2726496483712 is 2173846946272.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3543789 + ... + 4243987.

Almost surely, 22726496483712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2726496483712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812178250000).

2726496483712 is an abundant number, since it is smaller than the sum of its proper divisors (2897860016288).

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

2726496483712 is a wasteful number, since it uses less digits than its factorization.

2726496483712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701291 (or 701279 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 61.

It can be divided in two parts, 27264 and 96483712, that added together give a square (96510976 = 98242).

The spelling of 2726496483712 in words is "two trillion, seven hundred twenty-six billion, four hundred ninety-six million, four hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1049 1856 2098 3712 4196 8392 16784 30421 33568 60842 67136 121684 134272 243368 486736 700199 973472 1400398 1946944 2800796 3893888 5601592 11203184 20305771 22406368 40611542 44812736 81223084 89625472 162446168 324892336 649784672 734508751 1299569344 1469017502 2599138688 2938035004 5876070008 11752140016 21300753779 23504280032 42601507558 47008560064 85203015116 94017120128 170406030232 340812060464 681624120928 1363248241856 2726496483712