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544102442689 = 13223224672
BaseRepresentation
bin1111110101011110000…
…10000110011011000001
31221000102102201221010211
413322233002012123001
532403310211131224
61053542431354121
754211236311431
oct7725702063301
91830372657124
10544102442689
1119a83070a443
128954a982941
133c40210c300
141c4985b02c1
15e247878894
hex7eaf0866c1

544102442689 has 27 divisors (see below), whose sum is σ = 616155879843. Its totient is φ = 480216786192.

The previous prime is 544102442683. The next prime is 544102442693. The reversal of 544102442689 is 986244201445.

The square root of 544102442689 is 737633.

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

It can be written as a sum of positive squares in only one way, i.e., 80488527025 + 463613915664 = 283705^2 + 680892^2 .

It is not a de Polignac number, because 544102442689 - 213 = 544102434497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (544102442683) 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, 220551034 + ... + 220553500.

Almost surely, 2544102442689 is an apocalyptic number.

544102442689 is the 737633-rd square number.

544102442689 is the 368817-th centered octagonal number.

It is an amenable number.

544102442689 is a deficient number, since it is larger than the sum of its proper divisors (72053437154).

544102442689 is an frugal number, since it uses more digits than its factorization.

544102442689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

Multiplying 544102442689 by its sum of digits (49), we get a square (26661019691761 = 51634312).

The spelling of 544102442689 in words is "five hundred forty-four billion, one hundred two million, four hundred forty-two thousand, six hundred eighty-nine".

Divisors: 1 13 23 169 299 529 2467 3887 6877 32071 56741 89401 416923 737633 1305043 6086089 9589229 16965559 79119157 139980047 220552267 1028549041 1819740611 3219541081 23656627943 41854034053 544102442689