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45377225732644 = 2213297226712
BaseRepresentation
bin10100101000101001101010…
…11010111011001000100100
312221200000112212210212002221
422110110311122323020210
521421430024241421034
6240302002033242124
712362252645451031
oct1224246532731044
9187600485725087
1045377225732644
1113505411a42873
12510a4b1103344
131c42091904a00
14b2c3ab4d6388
1553a574765bb4
hex2945356bb224

45377225732644 has 81 divisors (see below), whose sum is σ = 86916659452371. Its totient is φ = 20719664110080.

The previous prime is 45377225732639. The next prime is 45377225732647. The reversal of 45377225732644 is 44623752277354.

The square root of 45377225732644 is 6736262.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8290587318244 + 37086638414400 = 2879338^2 + 6089880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45377225732647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16988851429 + ... + 16988854099.

Almost surely, 245377225732644 is an apocalyptic number.

45377225732644 is the 6736262-nd square number.

It is an amenable number.

45377225732644 is a deficient number, since it is larger than the sum of its proper divisors (41539433719727).

45377225732644 is an frugal number, since it uses more digits than its factorization.

45377225732644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 2783 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 61.

The spelling of 45377225732644 in words is "forty-five trillion, three hundred seventy-seven billion, two hundred twenty-five million, seven hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 52 97 169 194 338 388 676 1261 2522 2671 5044 5342 9409 10684 16393 18818 32786 34723 37636 65572 69446 122317 138892 244634 259087 451399 489268 518174 902798 1036348 1590121 1805596 3180242 3368131 6360484 6736262 7134241 13472524 14268482 25131439 28536964 43785703 50262878 87571406 92745133 100525756 175142812 185490266 326708707 370980532 653417414 692021377 1205686729 1306834828 1384042754 2411373458 2768085508 4247213191 4822746916 8494426382 8996277901 16988852764 17992555802 35985111604 67126073569 116951612713 134252147138 233903225426 268504294276 467806450852 872638956397 1745277912794 3490555825588 11344306433161 22688612866322 45377225732644