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26433485568 = 2835760703
BaseRepresentation
bin11000100111100011…
…101111101100000000
32112020012021012100000
4120213203233230000
5413113433014233
620050545200000
71624021630410
oct304743575400
975205235300
1026433485568
1110235016a46
125158630000
13265350a629
1413ca8d4640
15a4a97dd13
hex6278efb00

26433485568 has 216 divisors, whose sum is σ = 90329494528. Its totient is φ = 7552300032.

The previous prime is 26433485537. The next prime is 26433485593. The reversal of 26433485568 is 86558433462.

26433485568 is a `hidden beast` number, since 2 + 6 + 4 + 33 + 48 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405105 + ... + 465807.

Almost surely, 226433485568 is an apocalyptic number.

26433485568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26433485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45164747264).

26433485568 is an abundant number, since it is smaller than the sum of its proper divisors (63896008960).

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

26433485568 is an frugal number, since it uses more digits than its factorization.

26433485568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60741 (or 60715 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 26433485568 in words is "twenty-six billion, four hundred thirty-three million, four hundred eighty-five thousand, five hundred sixty-eight".