Search a number
-
+
541568865145 = 57112711801117
BaseRepresentation
bin1111110000110000000…
…01010001001101111001
31220202212212100212010111
413320120001101031321
532333113112141040
61052443204144321
754061403254120
oct7703001211571
91822785325114
10541568865145
11199750562100
1288b623980a1
133c0ba2546b9
141c2d7cdcab7
15e14a218dea
hex7e18051379

541568865145 has 48 divisors (see below), whose sum is σ = 827880286464. Its totient is φ = 332846236800.

The previous prime is 541568865073. The next prime is 541568865179.

541568865145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541568865145 - 215 = 541568832377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541568865145.

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, 599874 + ... + 1201243.

It is an arithmetic number, because the mean of its divisors is an integer number (17247505968).

Almost surely, 2541568865145 is an apocalyptic number.

541568865145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541568865145 is a deficient number, since it is larger than the sum of its proper divisors (286311421319).

541568865145 is a wasteful number, since it uses less digits than its factorization.

541568865145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801222 (or 1801211 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 58.

The spelling of 541568865145 in words is "five hundred forty-one billion, five hundred sixty-eight million, eight hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 55 71 77 121 355 385 497 605 781 847 2485 3905 4235 5467 8591 27335 42955 60137 300685 1801117 9005585 12607819 19812287 63039095 99061435 127879307 138686009 217935157 639396535 693430045 895155149 1089675785 1406672377 1525546099 4475775745 7033361885 7627730495 9846706639 15473396147 49233533195 77366980735 108313773029 541568865145