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2256022759536 = 2432713976717627
BaseRepresentation
bin100000110101000101011…
…011110110100001110000
321222200012002211120222100
4200311011123312201300
5243430313311301121
64444222541140400
7321664230024360
oct40650533664160
97880162746870
102256022759536
1179a857040457
1230529555a700
1313498532a4b0
147b2991169a0
153da3e928026
hex20d456f6870

2256022759536 has 240 divisors, whose sum is σ = 7771981561344. Its totient is φ = 594900343296.

The previous prime is 2256022759531. The next prime is 2256022759579. The reversal of 2256022759536 is 6359572206522.

It is a happy number.

2256022759536 is a `hidden beast` number, since 2 + 2 + 5 + 602 + 27 + 5 + 9 + 5 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256022759531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127977955 + ... + 127995581.

Almost surely, 22256022759536 is an apocalyptic number.

2256022759536 is a gapful number since it is divisible by the number (26) 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 2256022759536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885990780672).

2256022759536 is an abundant number, since it is smaller than the sum of its proper divisors (5515958801808).

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

2256022759536 is a wasteful number, since it uses less digits than its factorization.

2256022759536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27428 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 2256022759536 in words is "two trillion, two hundred fifty-six billion, twenty-two million, seven hundred fifty-nine thousand, five hundred thirty-six".