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26048378928 = 2431113171931379
BaseRepresentation
bin11000010000100110…
…101011100000110000
32111020100121202100010
4120100212223200300
5411321341111203
615544431054520
71611334365465
oct302046534060
974210552303
1026048378928
11100576a36a0
12506b671440
1325c17b1c90
1413916c966c
15a26c5d303
hex6109ab830

26048378928 has 640 divisors, whose sum is σ = 91194163200. Its totient is φ = 6270566400.

The previous prime is 26048378861. The next prime is 26048378969. The reversal of 26048378928 is 82987384062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 68729043 + ... + 68729421.

It is an arithmetic number, because the mean of its divisors is an integer number (142490880).

Almost surely, 226048378928 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 26048378928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597081600).

26048378928 is an abundant number, since it is smaller than the sum of its proper divisors (65145784272).

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

26048378928 is a wasteful number, since it uses less digits than its factorization.

26048378928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 26048378928 in words is "twenty-six billion, forty-eight million, three hundred seventy-eight thousand, nine hundred twenty-eight".