Search a number
-
+
276130523016252 = 22321921112011159293
BaseRepresentation
bin111110110010001110100101…
…101111000110110000111100
31100012200211010220212121022100
4332302032211233012300330
5242143110302343010002
62415140335553145100
7112106525526654102
oct7662164557066074
91305624126777270
10276130523016252
117aa9032a597893
1226b77b4155b190
13bb0ccc5680568
144c28b07dabc72
1521dcbc674411c
hexfb23a5bc6c3c

276130523016252 has 144 divisors (see below), whose sum is σ = 738281507483520. Its totient is φ = 86778076291200.

The previous prime is 276130523016223. The next prime is 276130523016269. The reversal of 276130523016252 is 252610325031672.

276130523016252 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 305 + 230 + 1 + 62 + 52 = 666.

It is a super-2 number, since 2×2761305230162522 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 276130523016198 and 276130523016207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733395918 + ... + 1733555210.

It is an arithmetic number, because the mean of its divisors is an integer number (5126954913080).

Almost surely, 2276130523016252 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 276130523016252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369140753741760).

276130523016252 is an abundant number, since it is smaller than the sum of its proper divisors (462150984467268).

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

276130523016252 is a wasteful number, since it uses less digits than its factorization.

276130523016252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171544 (or 171539 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 276130523016252 in words is "two hundred seventy-six trillion, one hundred thirty billion, five hundred twenty-three million, sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 211 228 342 422 633 684 844 1266 1899 2532 3798 4009 7596 8018 12011 12027 16036 24022 24054 36033 36081 48044 48108 72066 72162 108099 144132 144324 159293 216198 228209 318586 432396 456418 477879 637172 684627 912836 955758 1369254 1433637 1911516 2053881 2534321 2738508 2867274 3026567 4107762 5068642 5734548 6053134 7602963 8215524 9079701 10137284 12106268 15205926 18159402 22808889 27239103 30411852 33610823 36318804 45617778 48152099 54478206 67221646 91235556 96304198 100832469 108956412 134443292 144456297 192608396 201664938 288912594 302497407 403329876 433368891 577825188 604994814 638605637 866737782 1209989628 1277211274 1733475564 1913268223 1915816911 2554422548 3826536446 3831633822 5739804669 5747450733 7653072892 7663267644 11479609338 11494901466 17219414007 22959218676 22989802932 34438828014 36352096237 68877656028 72704192474 109056288711 145408384948 218112577422 327168866133 403699595053 436225154844 654337732266 807399190106 1211098785159 1308675464532 1614798380212 2422197570318 3633296355477 4844395140636 7266592710954 7670292306007 14533185421908 15340584612014 23010876918021 30681169224028 46021753836042 69032630754063 92043507672084 138065261508126 276130523016252