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20504835711360 = 2733571131397101
BaseRepresentation
bin1001010100110001001110…
…11100101110000110000000
32200121020120020220210211000
410222120213130232012000
510141422400420230420
6111335442543252000
74214265641535150
oct452304734560600
980536506823730
1020504835711360
116596063221000
122371b83baa000
13b597a022a880
1450c6217b8760
152585a02bc690
hex12a62772e180

20504835711360 has 4096 divisors, whose sum is σ = 100308276633600. Its totient is φ = 3853910016000.

The previous prime is 20504835711331. The next prime is 20504835711407. The reversal of 20504835711360 is 6311753840502.

It is a happy number.

20504835711360 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 4 + 8 + 3 + 571 + 13 + 60 = 666.

20504835711360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 203018175310 + ... + 203018175410.

It is an arithmetic number, because the mean of its divisors is an integer number (24489325350).

Almost surely, 220504835711360 is an apocalyptic number.

20504835711360 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 20504835711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50154138316800).

20504835711360 is an abundant number, since it is smaller than the sum of its proper divisors (79803440922240).

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

20504835711360 is a wasteful number, since it uses less digits than its factorization.

20504835711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20504835711360 in words is "twenty trillion, five hundred four billion, eight hundred thirty-five million, seven hundred eleven thousand, three hundred sixty".