Search a number
-
+
540562433532 = 2231183297116607
BaseRepresentation
bin1111101110111000000…
…10000010010111111100
31220200021201120211111120
413313130002002113330
532324032440333112
61052155252550540
754024432605142
oct7673402022774
91820251524446
10540562433532
11199284446140
1288921322450
133bc898a4c34
141c240399592
15e0dbbb6e8c
hex7ddc0825fc

540562433532 has 96 divisors (see below), whose sum is σ = 1393107738624. Its totient is φ = 161769009600.

The previous prime is 540562433491. The next prime is 540562433549. The reversal of 540562433532 is 235334265045.

It is a congruent number.

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, 32541973 + ... + 32558579.

It is an arithmetic number, because the mean of its divisors is an integer number (14511538944).

Almost surely, 2540562433532 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 540562433532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696553869312).

540562433532 is an abundant number, since it is smaller than the sum of its proper divisors (852545305092).

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

540562433532 is a wasteful number, since it uses less digits than its factorization.

540562433532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19679 (or 19677 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

Adding to 540562433532 its reverse (235334265045), we get a palindrome (775896698577).

The spelling of 540562433532 in words is "five hundred forty billion, five hundred sixty-two million, four hundred thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1826 2739 2971 3652 5478 5942 8913 10956 11884 16607 17826 32681 33214 35652 49821 65362 66428 98043 99642 130724 182677 196086 199284 246593 365354 392172 493186 548031 730708 739779 986372 1096062 1378381 1479558 2192124 2712523 2756762 2959116 4135143 5425046 5513524 8137569 8270286 10850092 15162191 16275138 16540572 30324382 32550276 45486573 49339397 60648764 90973146 98678794 148018191 181946292 197357588 296036382 542733367 592072764 1085466734 1628200101 2170933468 3256400202 4095169951 6512800404 8190339902 12285509853 16380679804 24571019706 45046869461 49142039412 90093738922 135140608383 180187477844 270281216766 540562433532