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20269034089920 = 26325711374160251
BaseRepresentation
bin1001001101111010000001…
…00100111010110111000000
32122202200220211120022111100
410212331000210322313000
510124041440211334140
6111035244332214400
74161250363036110
oct446750044726700
978680824508440
1020269034089920
11650505a370810
12233433660a400
13b404918b7b15
1450105295d040
1525239dc20530
hex126f4093adc0

20269034089920 has 1344 divisors, whose sum is σ = 91447936699392. Its totient is φ = 3997900800000.

The previous prime is 20269034089907. The next prime is 20269034089921. The reversal of 20269034089920 is 2998043096202.

20269034089920 is a `hidden beast` number, since 20 + 26 + 90 + 3 + 408 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20269034089921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336379795 + ... + 336440045.

It is an arithmetic number, because the mean of its divisors is an integer number (68041619568).

Almost surely, 220269034089920 is an apocalyptic number.

20269034089920 is a gapful number since it is divisible by the number (20) 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 20269034089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45723968349696).

20269034089920 is an abundant number, since it is smaller than the sum of its proper divisors (71178902609472).

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

20269034089920 is a wasteful number, since it uses less digits than its factorization.

20269034089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60370 (or 60357 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20269034089920 in words is "twenty trillion, two hundred sixty-nine billion, thirty-four million, eighty-nine thousand, nine hundred twenty".