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540546645045 = 3511337219777
BaseRepresentation
bin1111101110110110001…
…01110011110000110101
31220200020121212200202210
413313123011303300311
532324014420120140
61052153530324033
754024151446441
oct7673305636065
91820217780683
10540546645045
11199276542000
1288917b89619
133bc86537734
141c23c249821
15e0da5e8d80
hex7ddb173c35

540546645045 has 96 divisors (see below), whose sum is σ = 977752169856. Its totient is φ = 254986997760.

The previous prime is 540546645043. The next prime is 540546645049.

It is a happy number.

540546645045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540546645045 - 21 = 540546645043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540546644985 and 540546645003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540546645043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27322197 + ... + 27341973.

It is an arithmetic number, because the mean of its divisors is an integer number (10184918436).

Almost surely, 2540546645045 is an apocalyptic number.

540546645045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540546645045 is a deficient number, since it is larger than the sum of its proper divisors (437205524811).

540546645045 is a wasteful number, since it uses less digits than its factorization.

540546645045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19892 (or 19833 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 540546645045 in words is "five hundred forty billion, five hundred forty-six million, six hundred forty-five thousand, forty-five".

Divisors: 1 3 5 11 15 33 37 55 111 121 165 185 363 407 555 605 1221 1331 1369 1815 2035 3993 4107 4477 6105 6655 6845 13431 15059 19777 19965 20535 22385 45177 49247 59331 67155 75295 98885 147741 165649 217547 225885 246235 296655 496947 652641 731749 738705 828245 1087735 1822139 2195247 2393017 2484735 3263205 3658745 5466417 7179051 8049239 9110695 10976235 11965085 24147717 26323187 27074713 27332085 35895255 40246195 78969561 81224139 88541629 120738585 131615935 135373565 265624887 297821843 394847805 406120695 442708145 893465529 973957919 1328124435 1489109215 2921873757 3276040273 4467327645 4869789595 9828120819 14609368785 16380201365 36036443003 49140604095 108109329009 180182215015 540546645045