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523424430664512 = 2631337179226713967
BaseRepresentation
bin111011100000011010011111…
…1010000011010101101000000
32112122021212221112111010212120
41313000310333100122231000
51022101241213222231022
65053121510333324240
7215152111224404016
oct16700647720325500
92478255845433776
10523424430664512
11141863066510803
124a8571b2936680
131960a9343cbb50
149337c402768b6
15407a70d5d1d5c
hex1dc0d3f41ab40

523424430664512 has 448 divisors, whose sum is σ = 1541079794257920. Its totient is φ = 155745557028864.

The previous prime is 523424430664511. The next prime is 523424430664529. The reversal of 523424430664512 is 215466034424325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523424430664511) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37475788153 + ... + 37475802119.

It is an arithmetic number, because the mean of its divisors is an integer number (3439910255040).

Almost surely, 2523424430664512 is an apocalyptic number.

523424430664512 is a gapful number since it is divisible by the number (52) 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 523424430664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770539897128960).

523424430664512 is an abundant number, since it is smaller than the sum of its proper divisors (1017655363593408).

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

523424430664512 is a wasteful number, since it uses less digits than its factorization.

523424430664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16478 (or 16468 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 51.

The spelling of 523424430664512 in words is "five hundred twenty-three trillion, four hundred twenty-four billion, four hundred thirty million, six hundred sixty-four thousand, five hundred twelve".