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26495620256 = 2572137123341
BaseRepresentation
bin11000101011010000…
…110001010010100000
32112101112011222002202
4120223100301102200
5413230334322011
620101045032332
71625405025200
oct305320612240
975345158082
1026495620256
11102670a5726
1251753b56a8
132663354111
1413d4c6a400
15a5115423b
hex62b4314a0

26495620256 has 72 divisors (see below), whose sum is σ = 61123114836. Its totient is φ = 11272289280.

The previous prime is 26495620243. The next prime is 26495620259. The reversal of 26495620256 is 65202659462.

It can be written as a sum of positive squares in 2 ways, for example, as 23312403856 + 3183216400 = 152684^2 + 56420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26495620256.

It is not an unprimeable number, because it can be changed into a prime (26495620259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153146 + ... + 276486.

Almost surely, 226495620256 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 26495620256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30561557418).

26495620256 is an abundant number, since it is smaller than the sum of its proper divisors (34627494580).

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

26495620256 is a wasteful number, since it uses less digits than its factorization.

26495620256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123502 (or 123487 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 26495620256 in words is "twenty-six billion, four hundred ninety-five million, six hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 137 196 224 274 392 548 784 959 1096 1568 1918 2192 3836 4384 6713 7672 13426 15344 26852 30688 53704 107408 123341 214816 246682 493364 863387 986728 1726774 1973456 3453548 3946912 6043709 6907096 12087418 13814192 16897717 24174836 27628384 33795434 48349672 67590868 96699344 118284019 135181736 193398688 236568038 270363472 473136076 540726944 827988133 946272152 1655976266 1892544304 3311952532 3785088608 6623905064 13247810128 26495620256