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2043801907456 = 2819924492
BaseRepresentation
bin11101101111011100000…
…101100011000100000000
321020101102001212022000211
4131233130011203010000
5231441201242014311
64202524251523504
7300442213401121
oct35573405430400
97211361768024
102043801907456
11718853993201
12290129159594
1311a96419b2ca
1470cc5d68048
153826d65a821
hex1dbdc163100

2043801907456 has 81 divisors (see below), whose sum is σ = 4109376075861. Its totient is φ = 1014501261312.

The previous prime is 2043801907453. The next prime is 2043801907463. The reversal of 2043801907456 is 6547091083402.

It is a happy number.

The square root of 2043801907456 is 1429616.

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., 1248993997056 + 794807910400 = 1117584^2 + 891520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2043801907453) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4551897120 + ... + 4551897568.

It is a 1-persistent number, because it is pandigital, but 2⋅2043801907456 = 4087603814912 is not.

Almost surely, 22043801907456 is an apocalyptic number.

2043801907456 is the 1429616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043801907456

2043801907456 is an abundant number, since it is smaller than the sum of its proper divisors (2065574168405).

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

2043801907456 is an frugal number, since it uses more digits than its factorization.

2043801907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 2043801907456 by its sum of digits (49), we get a square (100146293465344 = 100073122).

The spelling of 2043801907456 in words is "two trillion, forty-three billion, eight hundred one million, nine hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 199 256 398 449 796 898 1592 1796 3184 3592 6368 7184 12736 14368 25472 28736 39601 50944 57472 79202 89351 114944 158404 178702 201601 316808 357404 403202 633616 714808 806404 1267232 1429616 1612808 2534464 2859232 3225616 5068928 5718464 6451232 10137856 11436928 12902464 17780849 22873856 25804928 35561698 40118599 51609856 71123396 80237198 142246792 160474396 284493584 320948792 568987168 641897584 1137974336 1283795168 2275948672 2567590336 4551897344 5135180672 7983601201 10270361344 15967202402 31934404804 63868809608 127737619216 255475238432 510950476864 1021900953728 2043801907456