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511042305445 = 57217488925097
BaseRepresentation
bin1110110111111000111…
…11101011110110100101
31210212002102020221122021
413123330133223312211
531333103312233240
61030434122103141
751631050631600
oct7337437536645
91725072227567
10511042305445
11187806070a71
128306304aab1
1339263a68419
141aa3d987337
15d46027c54a
hex76fc7ebda5

511042305445 has 48 divisors (see below), whose sum is σ = 755521078320. Its totient is φ = 329734938624.

The previous prime is 511042305409. The next prime is 511042305457. The reversal of 511042305445 is 544503240115.

It can be written as a sum of positive squares in 8 ways, for example, as 2624820289 + 508417485156 = 51233^2 + 713034^2 .

It is not a de Polignac number, because 511042305445 - 223 = 511033916837 is a prime.

It is a super-2 number, since 2×5110423054452 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511042305445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20350137 + ... + 20375233.

It is an arithmetic number, because the mean of its divisors is an integer number (15740022465).

Almost surely, 2511042305445 is an apocalyptic number.

It is an amenable number.

511042305445 is a deficient number, since it is larger than the sum of its proper divisors (244478772875).

511042305445 is a wasteful number, since it uses less digits than its factorization.

511042305445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30022 (or 30015 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 511042305445 in words is "five hundred eleven billion, forty-two million, three hundred five thousand, four hundred forty-five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 4165 4889 24445 25097 34223 83113 125485 171115 175679 239561 415565 426649 581791 878395 1197805 1229753 2133245 2908955 2986543 4072537 6148765 14932715 20362685 20905801 104529005 122699233 613496165 858894631 2085886961 4294473155 6012262417 10429434805 14601208727 30061312085 73006043635 102208461089 511042305445