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2088030780004 = 2213214923732
BaseRepresentation
bin11110011000101000010…
…101010011101001100100
321101121120110021211002111
4132120220111103221210
5233202241334430004
64235121134050404
7303566230534321
oct36305025235144
97347513254074
102088030780004
1173558aa38834
12298811349a04
13121b923c8300
14730c0025b48
15394ab526a04
hex1e628553a64

2088030780004 has 81 divisors (see below), whose sum is σ = 3994198419393. Its totient is φ = 954672361344.

The previous prime is 2088030780001. The next prime is 2088030780019. The reversal of 2088030780004 is 4000870308802.

The square root of 2088030780004 is 1445002.

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 2088019220004 + 11560000 = 1444998^2 + 3400^2 .

It is a super-2 number, since 2×20880307800042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2088030780001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5597937562 + ... + 5597937934.

Almost surely, 22088030780004 is an apocalyptic number.

2088030780004 is the 1445002-nd square number.

It is an amenable number.

2088030780004 is a deficient number, since it is larger than the sum of its proper divisors (1906167639389).

2088030780004 is an equidigital number, since it uses as much as digits as its factorization.

2088030780004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 2088030780004 in words is "two trillion, eighty-eight billion, thirty million, seven hundred eighty thousand, four".

Divisors: 1 2 4 13 26 52 149 169 298 338 373 596 676 746 1492 1937 3874 4849 7748 9698 19396 22201 25181 44402 50362 55577 63037 88804 100724 111154 126074 139129 222308 252148 278258 288613 556516 577226 722501 1154452 1445002 1808677 2890004 3617354 3751969 7234708 7503938 8280973 9392513 15007876 16561946 18785026 20730221 23512801 33123892 37570052 41460442 47025602 82920884 94051204 107652649 215305298 269492873 430610596 538985746 1077971492 1399484437 2798968874 3088802929 3503407349 5597937748 6177605858 7006814698 12355211716 14013629396 40154438077 80308876154 160617752308 522007695001 1044015390002 2088030780004