Search a number
-
+
541810080738 = 232411037127767
BaseRepresentation
bin1111110001001100110…
…01011011101111100010
31220210111200020212201100
413320212121123233202
532334111340040423
61052523142215230
754100362461433
oct7704631335742
91823450225640
10541810080738
11199864735a33
128900b124516
133c12820c914
141c31bd6d48a
15e1614b5343
hex7e2665bbe2

541810080738 has 48 divisors (see below), whose sum is σ = 1214229534336. Its totient is φ = 174487711680.

The previous prime is 541810080733. The next prime is 541810080781. The reversal of 541810080738 is 837080018145.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 541810080693 and 541810080702.

It is not an unprimeable number, because it can be changed into a prime (541810080733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3487870 + ... + 3639897.

It is an arithmetic number, because the mean of its divisors is an integer number (25296448632).

Almost surely, 2541810080738 is an apocalyptic number.

541810080738 is an abundant number, since it is smaller than the sum of its proper divisors (672419453598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541810080738 is a wasteful number, since it uses less digits than its factorization.

541810080738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7127919 (or 7127916 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 541810080738 in words is "five hundred forty-one billion, eight hundred ten million, eighty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 41 82 103 123 206 246 309 369 618 738 927 1854 4223 8446 12669 25338 38007 76014 7127767 14255534 21383301 42766602 64149903 128299806 292238447 584476894 734160001 876715341 1468320002 1753430682 2202480003 2630146023 4404960006 5260292046 6607440009 13214880018 30100560041 60201120082 90301680123 180603360246 270905040369 541810080738