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20453398782336 = 273213291072331889
BaseRepresentation
bin1001010011010001011011…
…00100011010000110000000
32200102022210112021002010200
410221220231210122012000
510140102030042013321
6111300054531325200
74210465201052022
oct451505544320600
980368715232120
1020453398782336
116576268436a03
122364009a50800
13b5499387c5b0
14509d422c2012
1525708e6dad26
hex129a2d91a180

20453398782336 has 768 divisors, whose sum is σ = 66501928584000. Its totient is φ = 5990545096704.

The previous prime is 20453398782319. The next prime is 20453398782337. The reversal of 20453398782336 is 63328789335402.

It is a happy number.

20453398782336 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 3 + 398 + 7 + 8 + 233 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20453398782337) 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 95 ways as a sum of consecutive naturals, for example, 10827632080 + ... + 10827633968.

Almost surely, 220453398782336 is an apocalyptic number.

20453398782336 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 20453398782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33250964292000).

20453398782336 is an abundant number, since it is smaller than the sum of its proper divisors (46048529801664).

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

20453398782336 is a wasteful number, since it uses less digits than its factorization.

20453398782336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 20453398782336 in words is "twenty trillion, four hundred fifty-three billion, three hundred ninety-eight million, seven hundred eighty-two thousand, three hundred thirty-six".