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544413355525 = 521341322912653
BaseRepresentation
bin1111110110000011001…
…00001000111000000101
31221001020002202221101001
413323001210020320011
532404424304334100
61054033335333301
754222033112024
oct7730144107005
91831202687331
10544413355525
1119a9801678a6
1289616b21231
133c45165b2c0
141c4c79c48bb
15e264ce0d6a
hex7ec1908e05

544413355525 has 48 divisors (see below), whose sum is σ = 745022471760. Its totient is φ = 392070297600.

The previous prime is 544413355517. The next prime is 544413355529. The reversal of 544413355525 is 525553314445.

It can be written as a sum of positive squares in 24 ways, for example, as 497621608929 + 46791746596 = 705423^2 + 216314^2 .

It is not a de Polignac number, because 544413355525 - 23 = 544413355517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544413355529) 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 47 ways as a sum of consecutive naturals, for example, 43020099 + ... + 43032751.

It is an arithmetic number, because the mean of its divisors is an integer number (15521301495).

Almost surely, 2544413355525 is an apocalyptic number.

It is an amenable number.

544413355525 is a deficient number, since it is larger than the sum of its proper divisors (200609116235).

544413355525 is a wasteful number, since it uses less digits than its factorization.

544413355525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15946 (or 15941 counting only the distinct ones).

The product of its digits is 3600000, while the sum is 46.

It can be divided in two parts, 54441 and 3355525, that added together give a triangular number (3409966 = T2611).

The spelling of 544413355525 in words is "five hundred forty-four billion, four hundred thirteen million, three hundred fifty-five thousand, five hundred twenty-five".

Divisors: 1 5 13 25 41 65 205 325 533 1025 2665 3229 12653 13325 16145 41977 63265 80725 132389 164489 209885 316325 518773 661945 822445 1049425 1721057 2593865 3309725 4112225 6744049 8605285 12969325 33720245 40856537 43026425 168601225 204282685 531134981 1021413425 1675118017 2655674905 8375590085 13278374525 21776534221 41877950425 108882671105 544413355525