Search a number
-
+
2061481437796 = 221141723492
BaseRepresentation
bin11101111111111001110…
…111100110101001100100
321022002001012000111022211
4131333321313212221210
5232233403222002141
64215010445333204
7301636301050264
oct35777167465144
97262035014284
102061481437796
117252a6590000
12293641b67204
1311c520bb4971
1471ac1db37a4
153895580ed81
hex1dff9de6a64

2061481437796 has 135 divisors (see below), whose sum is σ = 4227602746395. Its totient is φ = 879390209280.

The previous prime is 2061481437791. The next prime is 2061481437797. The reversal of 2061481437796 is 6977341841602.

It is a happy number.

The square root of 2061481437796 is 1435786.

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 543006872100 + 1518474565696 = 736890^2 + 1232264^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2061481437796.

It is not an unprimeable number, because it can be changed into a prime (2061481437791) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5906823430 + ... + 5906823778.

Almost surely, 22061481437796 is an apocalyptic number.

2061481437796 is the 1435786-th square number.

It is an amenable number.

2061481437796 is an abundant number, since it is smaller than the sum of its proper divisors (2166121308599).

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

2061481437796 is an frugal number, since it uses more digits than its factorization.

2061481437796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 2061481437796 in words is "two trillion, sixty-one billion, four hundred eighty-one million, four hundred thirty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 349 374 484 578 698 748 1156 1331 1396 2057 2662 3179 3839 4114 5324 5933 6358 7678 8228 11866 12716 14641 15356 22627 23732 29282 34969 42229 45254 58564 65263 69938 84458 90508 100861 121801 130526 139876 168916 201722 243602 248897 261052 384659 403444 464519 487204 497794 717893 769318 929038 995588 1109471 1339811 1435786 1538636 1858076 2070617 2218942 2679622 2871572 4141234 4231249 4437884 5109709 5359244 7896823 8282468 8462498 10219418 12204181 14737921 15793646 16924996 20438836 22776787 24408362 29475842 31587292 35200489 45553574 48816724 58951684 70400978 86865053 91107148 134245991 140801956 162117131 173730106 250544657 268491982 324234262 347460212 387205379 501089314 536983964 648468524 774410758 1002178628 1476705901 1548821516 1783288441 2755991227 2953411802 3566576882 4259259169 5511982454 5906823604 7133153764 8518518338 11023964908 17037036676 30315903497 46851850859 60631806994 93703701718 121263613988 187407403436 515370359449 1030740718898 2061481437796