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529056933769 = 7213279932
BaseRepresentation
bin1111011001011100100…
…00000010011110001001
31212120120212221212221201
413230232100002132021
532132002033340034
61043013450104201
753136344511100
oct7545620023611
91776525855851
10529056933769
1119440a934951
128665011b061
133ab7501b100
141b86c301037
15db66a75014
hex7b2e402789

529056933769 has 27 divisors (see below), whose sum is σ = 666499624533. Its totient is φ = 418542126912.

The previous prime is 529056933709. The next prime is 529056933781. The reversal of 529056933769 is 967339650925.

The square root of 529056933769 is 727363.

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 311322709369 + 217734224400 = 557963^2 + 466620^2 .

It is not a de Polignac number, because 529056933769 - 227 = 528922716041 is a prime.

It is a super-2 number, since 2×5290569337692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 529056933769.

It is not an unprimeable number, because it can be changed into a prime (529056933709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66186037 + ... + 66194029.

It is an arithmetic number, because the mean of its divisors is an integer number (24685171279).

Almost surely, 2529056933769 is an apocalyptic number.

529056933769 is the 727363-rd square number.

529056933769 is the 363682-nd centered octagonal number.

It is an amenable number.

529056933769 is a deficient number, since it is larger than the sum of its proper divisors (137442690764).

529056933769 is an frugal number, since it uses more digits than its factorization.

529056933769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16026 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 82668600, while the sum is 64.

Multiplying 529056933769 by its sum of digits (64), we get a square (33859643761216 = 58189042).

The spelling of 529056933769 in words is "five hundred twenty-nine billion, fifty-six million, nine hundred thirty-three thousand, seven hundred sixty-nine".

Divisors: 1 7 13 49 91 169 637 1183 7993 8281 55951 103909 391657 727363 1350817 5091541 9455719 63888049 66190033 447216343 830544637 3130514401 5813812459 10797080281 40696687213 75579561967 529056933769