Search a number
-
+
180277293320644 = 22132101251132
BaseRepresentation
bin101000111111011000010100…
…000001111000100111000100
3212122022100012112110202100111
4220333120110001320213010
5142112130344042230034
61435230124545322404
752654414246516012
oct5077302401704704
9778270175422314
10180277293320644
1152495197295303
1218276b44936404
1379790ca747400
143273678d718b2
1515c965d1e7364
hexa3f6140789c4

180277293320644 has 81 divisors (see below), whose sum is σ = 345103498981269. Its totient is φ = 82364981587200.

The previous prime is 180277293320633. The next prime is 180277293320671. The reversal of 180277293320644 is 446023392772081.

The square root of 180277293320644 is 13426738.

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

It can be written as a sum of positive squares in 13 ways, for example, as 165100347343044 + 15176945977600 = 12849138^2 + 3895760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35258611432 + ... + 35258616544.

Almost surely, 2180277293320644 is an apocalyptic number.

180277293320644 is the 13426738-th square number.

It is an amenable number.

180277293320644 is a deficient number, since it is larger than the sum of its proper divisors (164826205660625).

180277293320644 is an frugal number, since it uses more digits than its factorization.

180277293320644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 58.

The spelling of 180277293320644 in words is "one hundred eighty trillion, two hundred seventy-seven billion, two hundred ninety-three million, three hundred twenty thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 52 101 169 202 338 404 676 1313 2626 5113 5252 10201 10226 17069 20402 20452 34138 40804 66469 68276 132613 132938 265226 265876 516413 530452 864097 1032826 1723969 1728194 2065652 3447938 3456388 6713369 6895876 13426738 26142769 26853476 52157713 52285538 87273797 104315426 104571076 174547594 208630852 339855997 349095188 678050269 679711994 1356100538 1359423988 2640419669 2712201076 4418127961 5280839338 8814653497 8836255922 10561678676 17629306994 17672511844 34325455697 35258613988 68650911394 137301822788 266682386569 446230924061 533364773138 892461848122 1066729546276 1784923696244 3466871025397 6933742050794 13867484101588 45069323330161 90138646660322 180277293320644