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20265650496 = 2634721317192
BaseRepresentation
bin10010110111111011…
…010100100101000000
31221022100101201020000
4102313323110211000
5313001001303441
613150535120000
71315126121100
oct226773244500
957270351200
1020265650496
11865a482193
123b16b13000
131bac739a90
14da36b7200
157d92422b6
hex4b7ed4940

20265650496 has 1260 divisors, whose sum is σ = 84098735028. Its totient is φ = 4765630464.

The previous prime is 20265650467. The next prime is 20265650501. The reversal of 20265650496 is 69405656202.

It is a happy number.

20265650496 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 56 + 504 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9169977600 + 11095672896 = 95760^2 + 105336^2 .

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 1066613175 + ... + 1066613193.

Almost surely, 220265650496 is an apocalyptic number.

20265650496 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 20265650496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42049367514).

20265650496 is an abundant number, since it is smaller than the sum of its proper divisors (63833084532).

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

20265650496 is a wasteful number, since it uses less digits than its factorization.

20265650496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 20265 and 650496, that added together give a square (670761 = 8192).

The spelling of 20265650496 in words is "twenty billion, two hundred sixty-five million, six hundred fifty thousand, four hundred ninety-six".