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16526428303441 = 72271221432
BaseRepresentation
bin1111000001111101101111…
…1000110111000001010001
32011111220121012111102202111
43300133123320313001101
54131232111121202231
655052045241345321
73323665204533400
oct360373370670121
964456535442674
1016526428303441
1152a1900a30461
121a2ab23498241
1392b587a4aa54
14411c52087637
151d9d54cb74b1
hexf07dbe37051

16526428303441 has 27 divisors (see below), whose sum is σ = 19304830327113. Its totient is φ = 14106652980840.

The previous prime is 16526428303439. The next prime is 16526428303447. The reversal of 16526428303441 is 14430382462561.

The square root of 16526428303441 is 4065271.

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

It is not a de Polignac number, because 16526428303441 - 21 = 16526428303439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16526428303447) 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, 7711818016 + ... + 7711820158.

It is an arithmetic number, because the mean of its divisors is an integer number (714993715819).

Almost surely, 216526428303441 is an apocalyptic number.

16526428303441 is the 4065271-st square number.

16526428303441 is the 2032636-th centered octagonal number.

It is an amenable number.

16526428303441 is a deficient number, since it is larger than the sum of its proper divisors (2778402023672).

16526428303441 is an frugal number, since it uses more digits than its factorization.

16526428303441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

Multiplying 16526428303441 by its sum of digits (49), we get a square (809794986868609 = 284568972).

16526428303441 divided by its sum of digits (49) gives a square (337274047009 = 5807532).

The spelling of 16526428303441 in words is "sixteen trillion, five hundred twenty-six billion, four hundred twenty-eight million, three hundred three thousand, four hundred forty-one".

Divisors: 1 7 49 271 1897 2143 13279 15001 73441 105007 514087 580753 3598609 4065271 4592449 28456897 32147143 157384063 225030001 1101688441 1244553679 7711819087 8711875753 60983130271 337274047009 2360918329063 16526428303441