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2065405871104 = 2109724632
BaseRepresentation
bin11110000011100011110…
…010001000010000000000
321022110011200112100202121
4132003203302020100000
5232314422400333404
64220500115454024
7302135453143642
oct36034362102000
97273150470677
102065405871104
11726a2a850914
122943582b7314
1311c9c7c68b54
1471d75296892
1538ad5109e54
hex1e0e3c88400

2065405871104 has 99 divisors (see below), whose sum is σ = 4180828276557. Its totient is φ = 1019849048064.

The previous prime is 2065405871099. The next prime is 2065405871171. The reversal of 2065405871104 is 4011785045602.

The square root of 2065405871104 is 1437152.

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

It can be written as a sum of positive squares in only one way, i.e., 927446041600 + 1137959829504 = 963040^2 + 1066752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4460919577 + ... + 4460920039.

Almost surely, 22065405871104 is an apocalyptic number.

2065405871104 is the 1437152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065405871104

2065405871104 is an abundant number, since it is smaller than the sum of its proper divisors (2115422405453).

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

2065405871104 is an frugal number, since it uses more digits than its factorization.

2065405871104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 2065405871104 in words is "two trillion, sixty-five billion, four hundred five million, eight hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 463 512 776 926 1024 1552 1852 3104 3704 6208 7408 9409 12416 14816 18818 24832 29632 37636 44911 49664 59264 75272 89822 99328 118528 150544 179644 214369 237056 301088 359288 428738 474112 602176 718576 857476 1204352 1437152 1714952 2408704 2874304 3429904 4356367 4817408 5748608 6859808 8712734 9634816 11497216 13719616 17425468 20793793 22994432 27439232 34850936 41587586 45988864 54878464 69701872 83175172 109756928 139403744 166350344 219513856 278807488 332700688 557614976 665401376 1115229952 1330802752 2016997921 2230459904 2661605504 4033995842 4460919808 5323211008 8067991684 10646422016 16135983368 21292844032 32271966736 64543933472 129087866944 258175733888 516351467776 1032702935552 2065405871104