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426565412064 = 253211221158013
BaseRepresentation
bin1100011010100010100…
…01111010010011100000
31111210001002002010110100
412031101101322103200
523442101221141224
6523543401102400
742550455114651
oct6152121722340
91453032063410
10426565412064
111549a6066700
126a807a87a00
13312c028a28c
14169083d9528
15b168c36ac9
hex635147a4e0

426565412064 has 216 divisors, whose sum is σ = 1339689687336. Its totient is φ = 128647411200.

The previous prime is 426565411997. The next prime is 426565412069. The reversal of 426565412064 is 460214565624.

426565412064 is a `hidden beast` number, since 4 + 2 + 6 + 565 + 4 + 1 + 20 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426565412069) 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 35 ways as a sum of consecutive naturals, for example, 7323922 + ... + 7381934.

It is an arithmetic number, because the mean of its divisors is an integer number (6202267071).

Almost surely, 2426565412064 is an apocalyptic number.

426565412064 is a gapful number since it is divisible by the number (44) 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 426565412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669844843668).

426565412064 is an abundant number, since it is smaller than the sum of its proper divisors (913124275272).

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

426565412064 is a wasteful number, since it uses less digits than its factorization.

426565412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58262 (or 58240 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 426565412064 its reverse (460214565624), we get a palindrome (886779977688).

The spelling of 426565412064 in words is "four hundred twenty-six billion, five hundred sixty-five million, four hundred twelve thousand, sixty-four".