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540166066622260 = 2251334717393344231
BaseRepresentation
bin111101011010001110011011…
…0100001010100111100110100
32121211120101000221011010222021
41322310130312201110330310
51031300040101023403020
65152500510522042524
7221530465454151121
oct17264346641247464
92554511027133867
10540166066622260
11147128162565101
12506bb976949444
131a25359801c080
14975626a03b748
15426ae5b9a01aa
hex1eb4736854f34

540166066622260 has 96 divisors (see below), whose sum is σ = 1225200811790592. Its totient is φ = 198859148482560.

The previous prime is 540166066622227. The next prime is 540166066622269. The reversal of 540166066622260 is 62226660661045.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 540166066622198 and 540166066622207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540166066622269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569024345 + ... + 1569368575.

It is an arithmetic number, because the mean of its divisors is an integer number (12762508456152).

Almost surely, 2540166066622260 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 540166066622260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612600405895296).

540166066622260 is an abundant number, since it is smaller than the sum of its proper divisors (685034745168332).

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

540166066622260 is a wasteful number, since it uses less digits than its factorization.

540166066622260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361993 (or 361991 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 540166066622260 in words is "five hundred forty trillion, one hundred sixty-six billion, sixty-six million, six hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 347 694 1388 1735 3470 4511 6940 9022 17393 18044 22555 34786 45110 69572 86965 90220 173930 226109 344231 347860 452218 688462 904436 1130545 1376924 1721155 2261090 3442310 4475003 4522180 6035371 6884620 8950006 12070742 17900012 22375015 24141484 30176855 44750030 60353710 78459823 89500060 119448157 120707420 156919646 238896314 313839292 392299115 477792628 597240785 784598230 1194481570 1552826041 1569196460 2388963140 3105652082 5987209783 6211304164 7764130205 11974419566 15528260410 23948839132 29936048915 31056520820 59872097830 77833727179 119744195660 155667454358 311334908716 389168635895 778337271790 1556674543580 2077561794701 4155123589402 8310247178804 10387808973505 20775617947010 27008303331113 41551235894020 54016606662226 108033213324452 135041516655565 270083033311130 540166066622260