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540262412052 = 223112523711437
BaseRepresentation
bin1111101110010100010…
…01100010111100010100
31220122111211001011101220
413313022021202330110
532322424134141202
61052105414250340
754014130506016
oct7671211427424
91818454034356
10540262412052
11199140057600
12888589569b0
133bc3c69a42c
141c2125bc1b6
15e0c06a1abc
hex7dca262f14

540262412052 has 72 divisors (see below), whose sum is σ = 1388283038688. Its totient is φ = 163402620480.

The previous prime is 540262412051. The next prime is 540262412059. The reversal of 540262412052 is 250214262045.

540262412052 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540262412051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403678 + ... + 1115114.

Almost surely, 2540262412052 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 540262412052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694141519344).

540262412052 is an abundant number, since it is smaller than the sum of its proper divisors (848020626636).

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

540262412052 is a wasteful number, since it uses less digits than its factorization.

540262412052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711989 (or 711976 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 540262412052 its reverse (250214262045), we get a palindrome (790476674097).

The spelling of 540262412052 in words is "five hundred forty billion, two hundred sixty-two million, four hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 523 726 1046 1452 1569 2092 3138 5753 6276 11506 17259 23012 34518 63283 69036 126566 189849 253132 379698 711437 759396 1422874 2134311 2845748 4268622 7825807 8537244 15651614 23477421 31303228 46954842 86083877 93909684 172167754 258251631 344335508 372081551 516503262 744163102 1033006524 1116244653 1488326204 2232489306 4092897061 4464978612 8185794122 12278691183 16371588244 24557382366 45021867671 49114764732 90043735342 135065603013 180087470684 270131206026 540262412052