Search a number
-
+
540204565516 = 2271117531946627
BaseRepresentation
bin1111101110001101011…
…00111000010000001100
31220122100210012020212121
413313012230320100030
532322314332044031
61052055550342324
754012526021150
oct7670654702014
91818323166777
10540204565516
11199110437650
12888414ba9a4
133bc306c5705
141c208a41060
15e0ba577011
hex7dc6b3840c

540204565516 has 96 divisors (see below), whose sum is σ = 1271506263552. Its totient is φ = 194351139840.

The previous prime is 540204565507. The next prime is 540204565561. The reversal of 540204565516 is 615565402045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695806 + ... + 1250821.

It is an arithmetic number, because the mean of its divisors is an integer number (13244856912).

Almost surely, 2540204565516 is an apocalyptic number.

It is an amenable number.

540204565516 is an abundant number, since it is smaller than the sum of its proper divisors (731301698036).

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

540204565516 is a wasteful number, since it uses less digits than its factorization.

540204565516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946719 (or 1946717 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 43.

The spelling of 540204565516 in words is "five hundred forty billion, two hundred four million, five hundred sixty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 53 68 77 106 119 154 187 212 238 308 371 374 476 583 742 748 901 1166 1309 1484 1802 2332 2618 3604 4081 5236 6307 8162 9911 12614 16324 19822 25228 39644 69377 138754 277508 1946627 3893254 7786508 13626389 21412897 27252778 33092659 42825794 54505556 66185318 85651588 103171231 132370636 149890279 206342462 231648613 299780558 364019249 412684924 463297226 599561116 722198617 728038498 926594452 1134883541 1444397234 1456076996 1753910927 2269767082 2548134743 2888794468 3507821854 4539534164 5096269486 7015643708 7944184787 10192538972 12277376489 15888369574 19293020197 24554752978 31776739148 38586040394 49109505956 77172080788 135051141379 270102282758 540204565516