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20296491418368 = 283411172476551
BaseRepresentation
bin1001001110101101001010…
…01010010100001100000000
32122212022210101101010020000
410213112211022110030000
510130014203300341433
6111100025054120000
74163241656343264
oct447264512241400
978768711333200
1020296491418368
11651576a305aa0
122339719ab0000
13b42c4925cc29
145024d940a0a4
15252e594e0113
hex1275a5294300

20296491418368 has 1080 divisors, whose sum is σ = 71637598416384. Its totient is φ = 5664632832000.

The previous prime is 20296491418367. The next prime is 20296491418369. The reversal of 20296491418368 is 86381419469202.

20296491418368 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 6 + 491 + 4 + 1 + 83 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (20296491418367) and next prime (20296491418369).

It is not an unprimeable number, because it can be changed into a prime (20296491418367) 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 119 ways as a sum of consecutive naturals, for example, 3098224693 + ... + 3098231243.

Almost surely, 220296491418368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20296491418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35818799208192).

20296491418368 is an abundant number, since it is smaller than the sum of its proper divisors (51341106998016).

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

20296491418368 is a wasteful number, since it uses less digits than its factorization.

20296491418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 20296491418368 in words is "twenty trillion, two hundred ninety-six billion, four hundred ninety-one million, four hundred eighteen thousand, three hundred sixty-eight".