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20265122156202 = 2327113115728110691
BaseRepresentation
bin1001001101110010101110…
…11010000100111010101010
32122202022211012120111021100
410212321113122010322222
510124010432232444302
6111033400230022230
74161051422122410
oct446712732047252
978668735514240
1020265122156202
116503432168040
1223336244a7976
13b3ccba2bc141
14500ba11b12b0
15252220593d1c
hex126e57684eaa

20265122156202 has 384 divisors, whose sum is σ = 57075662831616. Its totient is φ = 5042943360000.

The previous prime is 20265122156183. The next prime is 20265122156231.

20265122156202 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 5 + 1 + 2 + 21 + 5 + 620 + 2 = 666.

20265122156202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1895525677 + ... + 1895536367.

It is an arithmetic number, because the mean of its divisors is an integer number (148634538624).

Almost surely, 220265122156202 is an apocalyptic number.

20265122156202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20265122156202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28537831415808).

20265122156202 is an abundant number, since it is smaller than the sum of its proper divisors (36810540675414).

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

20265122156202 is a wasteful number, since it uses less digits than its factorization.

20265122156202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11186 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20265122156202 in words is "twenty trillion, two hundred sixty-five billion, one hundred twenty-two million, one hundred fifty-six thousand, two hundred two".