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26448490656 = 2534717194513
BaseRepresentation
bin11000101000011100…
…111111000010100000
32112021020111112110000
4120220130333002200
5413131303200111
620052242540000
71624263314130
oct305034770240
975236445400
1026448490656
1110242535545
125161667600
132656662393
1413cc8bcac0
15a4be44c56
hex62873f0a0

26448490656 has 480 divisors, whose sum is σ = 99101439360. Its totient is φ = 6736379904.

The previous prime is 26448490633. The next prime is 26448490657. The reversal of 26448490656 is 65609484462.

26448490656 is a `hidden beast` number, since 2 + 64 + 48 + 490 + 6 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26448490657) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5858256 + ... + 5862768.

It is an arithmetic number, because the mean of its divisors is an integer number (206461332).

Almost surely, 226448490656 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 26448490656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49550719680).

26448490656 is an abundant number, since it is smaller than the sum of its proper divisors (72652948704).

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

26448490656 is a wasteful number, since it uses less digits than its factorization.

26448490656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 26448490656 in words is "twenty-six billion, four hundred forty-eight million, four hundred ninety thousand, six hundred fifty-six".