Search a number
-
+
540113512532552 = 2374112231663115663
BaseRepresentation
bin111101011001110101111101…
…0000011011000101001001000
32121211101100101100100202221022
41322303223322003120221020
51031243204433202020202
65152420420001332012
7221523625226566520
oct17263537203305110
92554340340322838
10540113512532552
11147107944104712
12506b174a637008
131a24b64109217a
1497538c241a680
1542698d2c97ea2
hex1eb3afa0d8a48

540113512532552 has 128 divisors (see below), whose sum is σ = 1187308244828160. Its totient is φ = 225509143841280.

The previous prime is 540113512532537. The next prime is 540113512532569. The reversal of 540113512532552 is 255235215311045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4669659473 + ... + 4669775135.

It is an arithmetic number, because the mean of its divisors is an integer number (9275845662720).

Almost surely, 2540113512532552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540113512532552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593654122414080).

540113512532552 is an abundant number, since it is smaller than the sum of its proper divisors (647194732295608).

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

540113512532552 is a wasteful number, since it uses less digits than its factorization.

540113512532552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118603 (or 118599 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 44.

Adding to 540113512532552 its reverse (255235215311045), we get a palindrome (795348727843597).

The spelling of 540113512532552 in words is "five hundred forty trillion, one hundred thirteen billion, five hundred twelve million, five hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 1223 1663 2296 2446 3326 4892 6652 8561 9784 11641 13304 17122 23282 34244 46564 50143 68183 68488 93128 100286 115663 136366 200572 231326 272732 351001 401144 462652 477281 545464 702002 809641 925304 954562 1404004 1619282 1909124 2033849 2808008 3238564 3818248 4067698 4742183 6477128 8135396 9484366 14236943 16270792 18968732 28473886 33195281 37937464 56947772 66390562 83387809 113895544 132781124 141455849 166775618 192347569 265562248 282911698 333551236 384695138 565823396 583714663 667102472 769390276 990190943 1131646792 1167429326 1346432983 1538780552 1980381886 2334858652 2692865966 3960763772 4669717304 5385731932 5799689809 7886250329 7921527544 10771463864 11599379618 15772500658 23198759236 31545001316 40597828663 46397518472 55203752303 63090002632 81195657326 110407504606 162391314652 220815009212 235241076887 324782629304 441630018424 470482153774 940964307548 1646687538209 1881928615096 3293375076418 6586750152836 9644884152367 13173500305672 19289768304734 38579536609468 67514189066569 77159073218936 135028378133138 270056756266276 540113512532552