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20490909569280 = 2833531731272063
BaseRepresentation
bin1001010100010111010010…
…11000101101000100000000
32200112220121201102111021000
410222023221120231010000
510141210340322204110
6111325221025532000
74213263561351633
oct452135130550400
980486551374230
1020490909569280
116590167289377
12236b3381a4000
13b5839100b507
1450baa0049c1a
152580378c81c0
hex12a2e962d100

20490909569280 has 1152 divisors, whose sum is σ = 76724400291840. Its totient is φ = 5171963166720.

The previous prime is 20490909569233. The next prime is 20490909569287. The reversal of 20490909569280 is 8296590909402.

20490909569280 is a `hidden beast` number, since 2 + 0 + 49 + 0 + 9 + 0 + 9 + 569 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×204909095692803 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20490909569287) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 9932577529 + ... + 9932579591.

It is an arithmetic number, because the mean of its divisors is an integer number (66601041920).

Almost surely, 220490909569280 is an apocalyptic number.

20490909569280 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 20490909569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38362200145920).

20490909569280 is an abundant number, since it is smaller than the sum of its proper divisors (56233490722560).

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

20490909569280 is a wasteful number, since it uses less digits than its factorization.

20490909569280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 20490909569280 in words is "twenty trillion, four hundred ninety billion, nine hundred nine million, five hundred sixty-nine thousand, two hundred eighty".