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43809347412769 = 67222324432
BaseRepresentation
bin10011111011000001010001…
…00101110010001100100001
312202010010120202010210111011
421331200220211302030201
521220233020414202034
6233101423015420521
712141056316564121
oct1175405045621441
9182103522123434
1043809347412769
1112a60492564064
124ab6665984741
131b5a2857b29b3
14ab6552d44c81
1550e8ad1a6864
hex27d828972321

43809347412769 has 27 divisors (see below), whose sum is σ = 44774372539953. Its totient is φ = 42864974658792.

The previous prime is 43809347412739. The next prime is 43809347412811. The reversal of 43809347412769 is 96721474390834.

The square root of 43809347412769 is 6618863.

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

It is not a de Polignac number, because 43809347412769 - 25 = 43809347412737 is a prime.

It is a super-2 number, since 2×438093474127692 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43809347412709) 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, 98892431862 + ... + 98892432304.

Almost surely, 243809347412769 is an apocalyptic number.

43809347412769 is the 6618863-rd square number.

43809347412769 is the 3309432-nd centered octagonal number.

It is an amenable number.

43809347412769 is a deficient number, since it is larger than the sum of its proper divisors (965025127184).

43809347412769 is an frugal number, since it uses more digits than its factorization.

43809347412769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 67.

The spelling of 43809347412769 in words is "forty-three trillion, eight hundred nine billion, three hundred forty-seven million, four hundred twelve thousand, seven hundred sixty-nine".

Divisors: 1 67 223 443 4489 14941 29681 49729 98789 196249 1001047 1988627 3331843 6618863 13148683 22029947 43763527 223233481 443463821 880961761 1476006449 2932156309 9759266521 98892432083 196454472703 653870856907 43809347412769