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534969365056 = 26723723532
BaseRepresentation
bin1111100100011101010…
…10001011001001000000
31220010211221020111221021
413302032222023021000
532231104124140211
61045432254035224
753436016401100
oct7621652131100
91803757214837
10534969365056
11196974294aa5
12878201a8b14
133b5a7c06769
141bc6d637200
15ddb0b61771
hex7c8ea8b240

534969365056 has 189 divisors, whose sum is σ = 1272782269899. Its totient is φ = 222444085248.

The previous prime is 534969364997. The next prime is 534969365057. The reversal of 534969365056 is 650563969435.

It is a happy number.

The square root of 534969365056 is 731416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66675502656 + 468293862400 = 258216^2 + 684320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 534969364985 and 534969365003.

It is not an unprimeable number, because it can be changed into a prime (534969365057) 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 26 ways as a sum of consecutive naturals, for example, 1515493776 + ... + 1515494128.

Almost surely, 2534969365056 is an apocalyptic number.

534969365056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

534969365056 is the 731416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534969365056

534969365056 is an abundant number, since it is smaller than the sum of its proper divisors (737812904843).

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

534969365056 is an frugal number, since it uses more digits than its factorization.

534969365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 61.

The spelling of 534969365056 in words is "five hundred thirty-four billion, nine hundred sixty-nine million, three hundred sixty-five thousand, fifty-six".