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26400303840 = 253555000633
BaseRepresentation
bin11000100101100101…
…001010101011100000
32112010212211101120010
4120211211022223200
5413031434210330
620043402044520
71623136610601
oct304545125340
975125741503
1026400303840
1110218313029
1251494a9740
132649690381
1413c6337da8
15a47ac73b0
hex62594aae0

26400303840 has 48 divisors (see below), whose sum is σ = 83160958608. Its totient is φ = 7040080896.

The previous prime is 26400303829. The next prime is 26400303841. The reversal of 26400303840 is 4830300462.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26400303798 and 26400303807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26400303841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27499837 + ... + 27500796.

It is an arithmetic number, because the mean of its divisors is an integer number (1732519971).

Almost surely, 226400303840 is an apocalyptic number.

26400303840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26400303840 is an abundant number, since it is smaller than the sum of its proper divisors (56760654768).

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

26400303840 is a wasteful number, since it uses less digits than its factorization.

26400303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55000651 (or 55000643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 26400303840 in words is "twenty-six billion, four hundred million, three hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 55000633 110001266 165001899 220002532 275003165 330003798 440005064 550006330 660007596 825009495 880010128 1100012660 1320015192 1650018990 1760020256 2200025320 2640030384 3300037980 4400050640 5280060768 6600075960 8800101280 13200151920 26400303840