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20443393486656 = 2633723375413671
BaseRepresentation
bin1001010010111110110010…
…01101001110111101000000
32200101100222020112101201000
410221133121031032331000
510134421032213033111
6111251322035212000
74206662230332540
oct451373115167500
980340866471630
1020443393486656
116571aa37351a8
122362097147000
13b53a5aa598aa
14509673581320
15256ba6133c56
hex1297d934ef40

20443393486656 has 896 divisors, whose sum is σ = 73765025464320. Its totient is φ = 5424487833600.

The previous prime is 20443393486627. The next prime is 20443393486661. The reversal of 20443393486656 is 65668439334402.

20443393486656 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 3 + 3 + 93 + 486 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 20443393486593 and 20443393486602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5568887701 + ... + 5568891371.

Almost surely, 220443393486656 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 20443393486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36882512732160).

20443393486656 is an abundant number, since it is smaller than the sum of its proper divisors (53321631977664).

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

20443393486656 is a wasteful number, since it uses less digits than its factorization.

20443393486656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 20443393486656 in words is "twenty trillion, four hundred forty-three billion, three hundred ninety-three million, four hundred eighty-six thousand, six hundred fifty-six".