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20344885107456 = 2837131272292181
BaseRepresentation
bin1001010000000111010011…
…01001100101101100000000
32200000221201000122020112010
410220003221221211230000
510131312311041414311
6111134151114532520
74166604135042660
oct450035151455400
980027630566463
1020344885107456
116534243286968
122346b84a37140
13b4768c297510
145049aa6821a0
1525433cd3ada6
hex1280e9a65b00

20344885107456 has 288 divisors, whose sum is σ = 67167314034688. Its totient is φ = 5323432181760.

The previous prime is 20344885107451. The next prime is 20344885107467. The reversal of 20344885107456 is 65470158844302.

It is a junction number, because it is equal to n+sod(n) for n = 20344885107396 and 20344885107405.

It is not an unprimeable number, because it can be changed into a prime (20344885107451) 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 31 ways as a sum of consecutive naturals, for example, 7729686 + ... + 10021866.

Almost surely, 220344885107456 is an apocalyptic number.

20344885107456 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 20344885107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33583657017344).

20344885107456 is an abundant number, since it is smaller than the sum of its proper divisors (46822428927232).

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

20344885107456 is a wasteful number, since it uses less digits than its factorization.

20344885107456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292347 (or 2292333 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 20344885107456 in words is "twenty trillion, three hundred forty-four billion, eight hundred eighty-five million, one hundred seven thousand, four hundred fifty-six".